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Finding the Fourth Proportional to 309,363.84, 464,070.24 and 99,001.80

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Solution

The fourth proportional to 309,363.84, 464,070.24 and 99,001.80 is: 148,510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,363.84 : 464,070.24 = 99,001.80 : x
  2. Step 2: Convert to fraction form
    309,363.84/464,070.24 = 99,001.80/x
  3. Step 3: Cross multiply
    309,363.84x = 464,070.24 × 99,001.80
  4. Step 4: Simplify right side
    309,363.84x = 45,943,789,086.43
  5. Step 5: Solve for x
    x = 45,943,789,086.43/309,363.84
  6. Step 6: Final answer
    x = 148,510.53

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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.