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Finding the Fourth Proportional to 687,048.76, 948,136.64 and 514,661.32

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Solution

The fourth proportional to 687,048.76, 948,136.64 and 514,661.32 is: 710,239.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,048.76 : 948,136.64 = 514,661.32 : x
  2. Step 2: Convert to fraction form
    687,048.76/948,136.64 = 514,661.32/x
  3. Step 3: Cross multiply
    687,048.76x = 948,136.64 × 514,661.32
  4. Step 4: Simplify right side
    687,048.76x = 487,969,254,682.77
  5. Step 5: Solve for x
    x = 487,969,254,682.77/687,048.76
  6. Step 6: Final answer
    x = 710,239.63

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.