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Finding the Fourth Proportional to 618,042.25, 926,938.54 and 430,211.15

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Solution

The fourth proportional to 618,042.25, 926,938.54 and 430,211.15 is: 645,229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,042.25 : 926,938.54 = 430,211.15 : x
  2. Step 2: Convert to fraction form
    618,042.25/926,938.54 = 430,211.15/x
  3. Step 3: Cross multiply
    618,042.25x = 926,938.54 × 430,211.15
  4. Step 4: Simplify right side
    618,042.25x = 398,779,292,231.87
  5. Step 5: Solve for x
    x = 398,779,292,231.87/618,042.25
  6. Step 6: Final answer
    x = 645,229.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.