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Finding the Fourth Proportional to 564,508.54, 779,022.52 and 306,385.47

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Solution

The fourth proportional to 564,508.54, 779,022.52 and 306,385.47 is: 422,812.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,508.54 : 779,022.52 = 306,385.47 : x
  2. Step 2: Convert to fraction form
    564,508.54/779,022.52 = 306,385.47/x
  3. Step 3: Cross multiply
    564,508.54x = 779,022.52 × 306,385.47
  4. Step 4: Simplify right side
    564,508.54x = 238,681,180,164.82
  5. Step 5: Solve for x
    x = 238,681,180,164.82/564,508.54
  6. Step 6: Final answer
    x = 422,812.35

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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.