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Finding the Fourth Proportional to 574,214.66, 792,408.50 and 319,565.78

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Solution

The fourth proportional to 574,214.66, 792,408.50 and 319,565.78 is: 440,996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,214.66 : 792,408.50 = 319,565.78 : x
  2. Step 2: Convert to fraction form
    574,214.66/792,408.50 = 319,565.78/x
  3. Step 3: Cross multiply
    574,214.66x = 792,408.50 × 319,565.78
  4. Step 4: Simplify right side
    574,214.66x = 253,226,640,381.13
  5. Step 5: Solve for x
    x = 253,226,640,381.13/574,214.66
  6. Step 6: Final answer
    x = 440,996.47

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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.