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Finding the Fourth Proportional to 408,978,315.20, 613,467,472.80 and 236,366,278.40

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Solution

The fourth proportional to 408,978,315.20, 613,467,472.80 and 236,366,278.40 is: 354,549,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,978,315.20 : 613,467,472.80 = 236,366,278.40 : x
  2. Step 2: Convert to fraction form
    408,978,315.20/613,467,472.80 = 236,366,278.40/x
  3. Step 3: Cross multiply
    408,978,315.20x = 613,467,472.80 × 236,366,278.40
  4. Step 4: Simplify right side
    408,978,315.20x = 145,003,023,465,189,216
  5. Step 5: Solve for x
    x = 145,003,023,465,189,216/408,978,315.20
  6. Step 6: Final answer
    x = 354,549,417.60

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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.