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Finding the Fourth Proportional to 492,818.40, 739,227.60 and 471,823.20

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Solution

The fourth proportional to 492,818.40, 739,227.60 and 471,823.20 is: 707,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,818.40 : 739,227.60 = 471,823.20 : x
  2. Step 2: Convert to fraction form
    492,818.40/739,227.60 = 471,823.20/x
  3. Step 3: Cross multiply
    492,818.40x = 739,227.60 × 471,823.20
  4. Step 4: Simplify right side
    492,818.40x = 348,784,731,760.32
  5. Step 5: Solve for x
    x = 348,784,731,760.32/492,818.40
  6. Step 6: Final answer
    x = 707,734.80

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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.