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Finding the Fourth Proportional to 415,638.72, 623,264.31 and 215,905.50

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Solution

The fourth proportional to 415,638.72, 623,264.31 and 215,905.50 is: 323,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,638.72 : 623,264.31 = 215,905.50 : x
  2. Step 2: Convert to fraction form
    415,638.72/623,264.31 = 215,905.50/x
  3. Step 3: Cross multiply
    415,638.72x = 623,264.31 × 215,905.50
  4. Step 4: Simplify right side
    415,638.72x = 134,566,192,482.71
  5. Step 5: Solve for x
    x = 134,566,192,482.71/415,638.72
  6. Step 6: Final answer
    x = 323,757.60

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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.