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Finding the Fourth Proportional to 492,404.54, 738,607.01 and 380,248.70

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Solution

The fourth proportional to 492,404.54, 738,607.01 and 380,248.70 is: 570,373.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,404.54 : 738,607.01 = 380,248.70 : x
  2. Step 2: Convert to fraction form
    492,404.54/738,607.01 = 380,248.70/x
  3. Step 3: Cross multiply
    492,404.54x = 738,607.01 × 380,248.70
  4. Step 4: Simplify right side
    492,404.54x = 280,854,349,769.11
  5. Step 5: Solve for x
    x = 280,854,349,769.11/492,404.54
  6. Step 6: Final answer
    x = 570,373.20

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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.