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Finding the Fourth Proportional to 564,502.97, 778,987.53 and 306,374.10

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Solution

The fourth proportional to 564,502.97, 778,987.53 and 306,374.10 is: 422,781.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,502.97 : 778,987.53 = 306,374.10 : x
  2. Step 2: Convert to fraction form
    564,502.97/778,987.53 = 306,374.10/x
  3. Step 3: Cross multiply
    564,502.97x = 778,987.53 × 306,374.10
  4. Step 4: Simplify right side
    564,502.97x = 238,661,600,493.77
  5. Step 5: Solve for x
    x = 238,661,600,493.77/564,502.97
  6. Step 6: Final answer
    x = 422,781.83

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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.