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Finding the Fourth Proportional to 617,638.72, 924,655.20 and 380,269.12

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Solution

The fourth proportional to 617,638.72, 924,655.20 and 380,269.12 is: 569,293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,638.72 : 924,655.20 = 380,269.12 : x
  2. Step 2: Convert to fraction form
    617,638.72/924,655.20 = 380,269.12/x
  3. Step 3: Cross multiply
    617,638.72x = 924,655.20 × 380,269.12
  4. Step 4: Simplify right side
    617,638.72x = 351,617,819,207.42
  5. Step 5: Solve for x
    x = 351,617,819,207.42/617,638.72
  6. Step 6: Final answer
    x = 569,293.68

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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.