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Finding the Fourth Proportional to 564,590.72, 779,132.04 and 306,472.88

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Solution

The fourth proportional to 564,590.72, 779,132.04 and 306,472.88 is: 422,930.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,590.72 : 779,132.04 = 306,472.88 : x
  2. Step 2: Convert to fraction form
    564,590.72/779,132.04 = 306,472.88/x
  3. Step 3: Cross multiply
    564,590.72x = 779,132.04 × 306,472.88
  4. Step 4: Simplify right side
    564,590.72x = 238,782,840,199.08
  5. Step 5: Solve for x
    x = 238,782,840,199.08/564,590.72
  6. Step 6: Final answer
    x = 422,930.86

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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.