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Finding the Fourth Proportional to 646,061.70, 970,129.35 and 488,468.10

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Solution

The fourth proportional to 646,061.70, 970,129.35 and 488,468.10 is: 733,486.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,061.70 : 970,129.35 = 488,468.10 : x
  2. Step 2: Convert to fraction form
    646,061.70/970,129.35 = 488,468.10/x
  3. Step 3: Cross multiply
    646,061.70x = 970,129.35 × 488,468.10
  4. Step 4: Simplify right side
    646,061.70x = 473,877,240,348.74
  5. Step 5: Solve for x
    x = 473,877,240,348.74/646,061.70
  6. Step 6: Final answer
    x = 733,486.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.