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Finding the Fourth Proportional to 417,487.76, 626,327.16 and 180,869.84

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Solution

The fourth proportional to 417,487.76, 626,327.16 and 180,869.84 is: 271,346.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,487.76 : 626,327.16 = 180,869.84 : x
  2. Step 2: Convert to fraction form
    417,487.76/626,327.16 = 180,869.84/x
  3. Step 3: Cross multiply
    417,487.76x = 626,327.16 × 180,869.84
  4. Step 4: Simplify right side
    417,487.76x = 113,283,693,216.85
  5. Step 5: Solve for x
    x = 113,283,693,216.85/417,487.76
  6. Step 6: Final answer
    x = 271,346.14

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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.