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Finding the Fourth Proportional to 458,510.40, 687,834.72 and 142,992

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Solution

The fourth proportional to 458,510.40, 687,834.72 and 142,992 is: 214,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,510.40 : 687,834.72 = 142,992 : x
  2. Step 2: Convert to fraction form
    458,510.40/687,834.72 = 142,992/x
  3. Step 3: Cross multiply
    458,510.40x = 687,834.72 × 142,992
  4. Step 4: Simplify right side
    458,510.40x = 98,354,862,282.24
  5. Step 5: Solve for x
    x = 98,354,862,282.24/458,510.40
  6. Step 6: Final answer
    x = 214,509.56

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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.