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Finding the Fourth Proportional to 398,649.60, 596,937.60 and 257,644.80

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Solution

The fourth proportional to 398,649.60, 596,937.60 and 257,644.80 is: 385,797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,649.60 : 596,937.60 = 257,644.80 : x
  2. Step 2: Convert to fraction form
    398,649.60/596,937.60 = 257,644.80/x
  3. Step 3: Cross multiply
    398,649.60x = 596,937.60 × 257,644.80
  4. Step 4: Simplify right side
    398,649.60x = 153,797,868,564.48
  5. Step 5: Solve for x
    x = 153,797,868,564.48/398,649.60
  6. Step 6: Final answer
    x = 385,797.12

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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.