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Finding the Fourth Proportional to 398,650.60, 596,939.10 and 257,645.80

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Solution

The fourth proportional to 398,650.60, 596,939.10 and 257,645.80 is: 385,798.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,650.60 : 596,939.10 = 257,645.80 : x
  2. Step 2: Convert to fraction form
    398,650.60/596,939.10 = 257,645.80/x
  3. Step 3: Cross multiply
    398,650.60x = 596,939.10 × 257,645.80
  4. Step 4: Simplify right side
    398,650.60x = 153,798,851,970.78
  5. Step 5: Solve for x
    x = 153,798,851,970.78/398,650.60
  6. Step 6: Final answer
    x = 385,798.62

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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.