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Finding the Fourth Proportional to 564,123.50, 778,476.39 and 315,761.96

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Solution

The fourth proportional to 564,123.50, 778,476.39 and 315,761.96 is: 435,743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,123.50 : 778,476.39 = 315,761.96 : x
  2. Step 2: Convert to fraction form
    564,123.50/778,476.39 = 315,761.96/x
  3. Step 3: Cross multiply
    564,123.50x = 778,476.39 × 315,761.96
  4. Step 4: Simplify right side
    564,123.50x = 245,813,232,666.32
  5. Step 5: Solve for x
    x = 245,813,232,666.32/564,123.50
  6. Step 6: Final answer
    x = 435,743.65

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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.