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Finding the Fourth Proportional to 291,226,459.80, 436,839,689.70 and 138,171,451.80

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Solution

The fourth proportional to 291,226,459.80, 436,839,689.70 and 138,171,451.80 is: 207,257,177.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,226,459.80 : 436,839,689.70 = 138,171,451.80 : x
  2. Step 2: Convert to fraction form
    291,226,459.80/436,839,689.70 = 138,171,451.80/x
  3. Step 3: Cross multiply
    291,226,459.80x = 436,839,689.70 × 138,171,451.80
  4. Step 4: Simplify right side
    291,226,459.80x = 60,358,774,129,710,512
  5. Step 5: Solve for x
    x = 60,358,774,129,710,512/291,226,459.80
  6. Step 6: Final answer
    x = 207,257,177.70

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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.