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Finding the Fourth Proportional to 687,038.76, 948,122.82 and 514,651.32

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Solution

The fourth proportional to 687,038.76, 948,122.82 and 514,651.32 is: 710,225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,038.76 : 948,122.82 = 514,651.32 : x
  2. Step 2: Convert to fraction form
    687,038.76/948,122.82 = 514,651.32/x
  3. Step 3: Cross multiply
    687,038.76x = 948,122.82 × 514,651.32
  4. Step 4: Simplify right side
    687,038.76x = 487,952,660,835.12
  5. Step 5: Solve for x
    x = 487,952,660,835.12/687,038.76
  6. Step 6: Final answer
    x = 710,225.81

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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.