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Finding the Fourth Proportional to 417,687.40, 626,531.10 and 102,140.20

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Solution

The fourth proportional to 417,687.40, 626,531.10 and 102,140.20 is: 153,210.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,687.40 : 626,531.10 = 102,140.20 : x
  2. Step 2: Convert to fraction form
    417,687.40/626,531.10 = 102,140.20/x
  3. Step 3: Cross multiply
    417,687.40x = 626,531.10 × 102,140.20
  4. Step 4: Simplify right side
    417,687.40x = 63,994,011,860.22
  5. Step 5: Solve for x
    x = 63,994,011,860.22/417,687.40
  6. Step 6: Final answer
    x = 153,210.30

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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.