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Finding the Fourth Proportional to 458,190.90, 686,703.15 and 408,035.70

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Solution

The fourth proportional to 458,190.90, 686,703.15 and 408,035.70 is: 611,534.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,190.90 : 686,703.15 = 408,035.70 : x
  2. Step 2: Convert to fraction form
    458,190.90/686,703.15 = 408,035.70/x
  3. Step 3: Cross multiply
    458,190.90x = 686,703.15 × 408,035.70
  4. Step 4: Simplify right side
    458,190.90x = 280,199,400,502.46
  5. Step 5: Solve for x
    x = 280,199,400,502.46/458,190.90
  6. Step 6: Final answer
    x = 611,534.19

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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.