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Finding the Fourth Proportional to 458,108.01, 687,205.74 and 142,480.17

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Solution

The fourth proportional to 458,108.01, 687,205.74 and 142,480.17 is: 213,733.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,108.01 : 687,205.74 = 142,480.17 : x
  2. Step 2: Convert to fraction form
    458,108.01/687,205.74 = 142,480.17/x
  3. Step 3: Cross multiply
    458,108.01x = 687,205.74 × 142,480.17
  4. Step 4: Simplify right side
    458,108.01x = 97,913,190,660.18
  5. Step 5: Solve for x
    x = 97,913,190,660.18/458,108.01
  6. Step 6: Final answer
    x = 213,733.85

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1.5x scale

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.