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Finding the Fourth Proportional to 449,973,148.80, 674,959,723.20 and 313,812,278.40

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Solution

The fourth proportional to 449,973,148.80, 674,959,723.20 and 313,812,278.40 is: 470,718,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,973,148.80 : 674,959,723.20 = 313,812,278.40 : x
  2. Step 2: Convert to fraction form
    449,973,148.80/674,959,723.20 = 313,812,278.40/x
  3. Step 3: Cross multiply
    449,973,148.80x = 674,959,723.20 × 313,812,278.40
  4. Step 4: Simplify right side
    449,973,148.80x = 211,810,648,565,625,344
  5. Step 5: Solve for x
    x = 211,810,648,565,625,344/449,973,148.80
  6. Step 6: Final answer
    x = 470,718,417.60

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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.