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Finding the Fourth Proportional to 567,436.84, 783,001.02 and 312,739

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Solution

The fourth proportional to 567,436.84, 783,001.02 and 312,739 is: 431,545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,436.84 : 783,001.02 = 312,739 : x
  2. Step 2: Convert to fraction form
    567,436.84/783,001.02 = 312,739/x
  3. Step 3: Cross multiply
    567,436.84x = 783,001.02 × 312,739
  4. Step 4: Simplify right side
    567,436.84x = 244,874,955,993.78
  5. Step 5: Solve for x
    x = 244,874,955,993.78/567,436.84
  6. Step 6: Final answer
    x = 431,545.75

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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.