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Finding the Fourth Proportional to 564,888.26, 779,542.78 and 306,762.96

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Solution

The fourth proportional to 564,888.26, 779,542.78 and 306,762.96 is: 423,331.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,888.26 : 779,542.78 = 306,762.96 : x
  2. Step 2: Convert to fraction form
    564,888.26/779,542.78 = 306,762.96/x
  3. Step 3: Cross multiply
    564,888.26x = 779,542.78 × 306,762.96
  4. Step 4: Simplify right side
    564,888.26x = 239,134,850,639.43
  5. Step 5: Solve for x
    x = 239,134,850,639.43/564,888.26
  6. Step 6: Final answer
    x = 423,331.25

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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.