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Finding the Fourth Proportional to 279,432,001.80, 419,148,002.70 and 97,660,225.80

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Solution

The fourth proportional to 279,432,001.80, 419,148,002.70 and 97,660,225.80 is: 146,490,338.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,432,001.80 : 419,148,002.70 = 97,660,225.80 : x
  2. Step 2: Convert to fraction form
    279,432,001.80/419,148,002.70 = 97,660,225.80/x
  3. Step 3: Cross multiply
    279,432,001.80x = 419,148,002.70 × 97,660,225.80
  4. Step 4: Simplify right side
    279,432,001.80x = 40,934,088,587,301,008
  5. Step 5: Solve for x
    x = 40,934,088,587,301,008/279,432,001.80
  6. Step 6: Final answer
    x = 146,490,338.70

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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.