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Finding the Fourth Proportional to 671,319.20, 1,006,978.80 and 405,898.40

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Solution

The fourth proportional to 671,319.20, 1,006,978.80 and 405,898.40 is: 608,847.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,319.20 : 1,006,978.80 = 405,898.40 : x
  2. Step 2: Convert to fraction form
    671,319.20/1,006,978.80 = 405,898.40/x
  3. Step 3: Cross multiply
    671,319.20x = 1,006,978.80 × 405,898.40
  4. Step 4: Simplify right side
    671,319.20x = 408,731,083,753.92
  5. Step 5: Solve for x
    x = 408,731,083,753.92/671,319.20
  6. Step 6: Final answer
    x = 608,847.60

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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.