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Finding the Fourth Proportional to 458,517.40, 687,776.10 and 353,541.40

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Solution

The fourth proportional to 458,517.40, 687,776.10 and 353,541.40 is: 530,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,517.40 : 687,776.10 = 353,541.40 : x
  2. Step 2: Convert to fraction form
    458,517.40/687,776.10 = 353,541.40/x
  3. Step 3: Cross multiply
    458,517.40x = 687,776.10 × 353,541.40
  4. Step 4: Simplify right side
    458,517.40x = 243,157,325,280.54
  5. Step 5: Solve for x
    x = 243,157,325,280.54/458,517.40
  6. Step 6: Final answer
    x = 530,312.10

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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.