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Finding the Fourth Proportional to 417,809.40, 626,714.10 and 391,237.35

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Solution

The fourth proportional to 417,809.40, 626,714.10 and 391,237.35 is: 586,856.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,809.40 : 626,714.10 = 391,237.35 : x
  2. Step 2: Convert to fraction form
    417,809.40/626,714.10 = 391,237.35/x
  3. Step 3: Cross multiply
    417,809.40x = 626,714.10 × 391,237.35
  4. Step 4: Simplify right side
    417,809.40x = 245,193,963,691.64
  5. Step 5: Solve for x
    x = 245,193,963,691.64/417,809.40
  6. Step 6: Final answer
    x = 586,856.03

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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.