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Finding the Fourth Proportional to 508,620.30, 702,478.55 and 334,966.78

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Solution

The fourth proportional to 508,620.30, 702,478.55 and 334,966.78 is: 462,637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,620.30 : 702,478.55 = 334,966.78 : x
  2. Step 2: Convert to fraction form
    508,620.30/702,478.55 = 334,966.78/x
  3. Step 3: Cross multiply
    508,620.30x = 702,478.55 × 334,966.78
  4. Step 4: Simplify right side
    508,620.30x = 235,306,972,725.34
  5. Step 5: Solve for x
    x = 235,306,972,725.34/508,620.30
  6. Step 6: Final answer
    x = 462,637.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.