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Finding the Fourth Proportional to 458,471.40, 687,707.10 and 142,925.80

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Solution

The fourth proportional to 458,471.40, 687,707.10 and 142,925.80 is: 214,388.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,471.40 : 687,707.10 = 142,925.80 : x
  2. Step 2: Convert to fraction form
    458,471.40/687,707.10 = 142,925.80/x
  3. Step 3: Cross multiply
    458,471.40x = 687,707.10 × 142,925.80
  4. Step 4: Simplify right side
    458,471.40x = 98,291,087,433.18
  5. Step 5: Solve for x
    x = 98,291,087,433.18/458,471.40
  6. Step 6: Final answer
    x = 214,388.70

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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.