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Finding the Fourth Proportional to 398,659.60, 596,952.60 and 257,654.80

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Solution

The fourth proportional to 398,659.60, 596,952.60 and 257,654.80 is: 385,812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,659.60 : 596,952.60 = 257,654.80 : x
  2. Step 2: Convert to fraction form
    398,659.60/596,952.60 = 257,654.80/x
  3. Step 3: Cross multiply
    398,659.60x = 596,952.60 × 257,654.80
  4. Step 4: Simplify right side
    398,659.60x = 153,807,702,762.48
  5. Step 5: Solve for x
    x = 153,807,702,762.48/398,659.60
  6. Step 6: Final answer
    x = 385,812.11

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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.