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Finding the Fourth Proportional to 397,402.40, 596,103.60 and 257,319.20

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Solution

The fourth proportional to 397,402.40, 596,103.60 and 257,319.20 is: 385,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,402.40 : 596,103.60 = 257,319.20 : x
  2. Step 2: Convert to fraction form
    397,402.40/596,103.60 = 257,319.20/x
  3. Step 3: Cross multiply
    397,402.40x = 596,103.60 × 257,319.20
  4. Step 4: Simplify right side
    397,402.40x = 153,388,901,469.12
  5. Step 5: Solve for x
    x = 153,388,901,469.12/397,402.40
  6. Step 6: Final answer
    x = 385,978.80

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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.