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Finding the Fourth Proportional to 458,578,616.76, 687,848,710.92 and 147,679,351.02

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Solution

The fourth proportional to 458,578,616.76, 687,848,710.92 and 147,679,351.02 is: 221,512,838.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,578,616.76 : 687,848,710.92 = 147,679,351.02 : x
  2. Step 2: Convert to fraction form
    458,578,616.76/687,848,710.92 = 147,679,351.02/x
  3. Step 3: Cross multiply
    458,578,616.76x = 687,848,710.92 × 147,679,351.02
  4. Step 4: Simplify right side
    458,578,616.76x = 101,581,051,228,609,184
  5. Step 5: Solve for x
    x = 101,581,051,228,609,184/458,578,616.76
  6. Step 6: Final answer
    x = 221,512,838.84

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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.