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Finding the Fourth Proportional to 458,215.40, 686,739.90 and 408,060.20

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Solution

The fourth proportional to 458,215.40, 686,739.90 and 408,060.20 is: 611,570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,215.40 : 686,739.90 = 408,060.20 : x
  2. Step 2: Convert to fraction form
    458,215.40/686,739.90 = 408,060.20/x
  3. Step 3: Cross multiply
    458,215.40x = 686,739.90 × 408,060.20
  4. Step 4: Simplify right side
    458,215.40x = 280,231,220,941.98
  5. Step 5: Solve for x
    x = 280,231,220,941.98/458,215.40
  6. Step 6: Final answer
    x = 611,570.94

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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.