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Finding the Fourth Proportional to 646,059.66, 969,013.17 and 172,781.70

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Solution

The fourth proportional to 646,059.66, 969,013.17 and 172,781.70 is: 259,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,059.66 : 969,013.17 = 172,781.70 : x
  2. Step 2: Convert to fraction form
    646,059.66/969,013.17 = 172,781.70/x
  3. Step 3: Cross multiply
    646,059.66x = 969,013.17 × 172,781.70
  4. Step 4: Simplify right side
    646,059.66x = 167,427,742,834.99
  5. Step 5: Solve for x
    x = 167,427,742,834.99/646,059.66
  6. Step 6: Final answer
    x = 259,152.14

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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.