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Finding the Fourth Proportional to 778,704,176.64, 1,074,611,677 and 421,471,892.40

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Solution

The fourth proportional to 778,704,176.64, 1,074,611,677 and 421,471,892.40 is: 581,631,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,704,176.64 : 1,074,611,677 = 421,471,892.40 : x
  2. Step 2: Convert to fraction form
    778,704,176.64/1,074,611,677 = 421,471,892.40/x
  3. Step 3: Cross multiply
    778,704,176.64x = 1,074,611,677 × 421,471,892.40
  4. Step 4: Simplify right side
    778,704,176.64x = 452,918,617,100,327,552
  5. Step 5: Solve for x
    x = 452,918,617,100,327,552/778,704,176.64
  6. Step 6: Final answer
    x = 581,631,164.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.