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Finding the Fourth Proportional to 417,694.40, 626,541.60 and 102,147.20

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Solution

The fourth proportional to 417,694.40, 626,541.60 and 102,147.20 is: 153,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,694.40 : 626,541.60 = 102,147.20 : x
  2. Step 2: Convert to fraction form
    417,694.40/626,541.60 = 102,147.20/x
  3. Step 3: Cross multiply
    417,694.40x = 626,541.60 × 102,147.20
  4. Step 4: Simplify right side
    417,694.40x = 63,999,470,123.52
  5. Step 5: Solve for x
    x = 63,999,470,123.52/417,694.40
  6. Step 6: Final answer
    x = 153,220.80

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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.