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Finding the Fourth Proportional to 458,043.60, 687,065.40 and 234,094.80

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Solution

The fourth proportional to 458,043.60, 687,065.40 and 234,094.80 is: 351,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,043.60 : 687,065.40 = 234,094.80 : x
  2. Step 2: Convert to fraction form
    458,043.60/687,065.40 = 234,094.80/x
  3. Step 3: Cross multiply
    458,043.60x = 687,065.40 × 234,094.80
  4. Step 4: Simplify right side
    458,043.60x = 160,838,437,399.92
  5. Step 5: Solve for x
    x = 160,838,437,399.92/458,043.60
  6. Step 6: Final answer
    x = 351,142.20

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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.