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Finding the Fourth Proportional to 564,534.59, 779,055.77 and 306,411.54

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Solution

The fourth proportional to 564,534.59, 779,055.77 and 306,411.54 is: 422,846.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,534.59 : 779,055.77 = 306,411.54 : x
  2. Step 2: Convert to fraction form
    564,534.59/779,055.77 = 306,411.54/x
  3. Step 3: Cross multiply
    564,534.59x = 779,055.77 × 306,411.54
  4. Step 4: Simplify right side
    564,534.59x = 238,711,676,699.53
  5. Step 5: Solve for x
    x = 238,711,676,699.53/564,534.59
  6. Step 6: Final answer
    x = 422,846.86

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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.