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Finding the Fourth Proportional to 417,209.20, 626,008.20 and 312,233.20

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Solution

The fourth proportional to 417,209.20, 626,008.20 and 312,233.20 is: 468,495.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,209.20 : 626,008.20 = 312,233.20 : x
  2. Step 2: Convert to fraction form
    417,209.20/626,008.20 = 312,233.20/x
  3. Step 3: Cross multiply
    417,209.20x = 626,008.20 × 312,233.20
  4. Step 4: Simplify right side
    417,209.20x = 195,460,543,512.24
  5. Step 5: Solve for x
    x = 195,460,543,512.24/417,209.20
  6. Step 6: Final answer
    x = 468,495.29

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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.