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Finding the Fourth Proportional to 709,648.76, 979,169.10 and 407,784.44

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Solution

The fourth proportional to 709,648.76, 979,169.10 and 407,784.44 is: 562,658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,648.76 : 979,169.10 = 407,784.44 : x
  2. Step 2: Convert to fraction form
    709,648.76/979,169.10 = 407,784.44/x
  3. Step 3: Cross multiply
    709,648.76x = 979,169.10 × 407,784.44
  4. Step 4: Simplify right side
    709,648.76x = 399,289,923,108.80
  5. Step 5: Solve for x
    x = 399,289,923,108.80/709,648.76
  6. Step 6: Final answer
    x = 562,658.52

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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.