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Finding the Fourth Proportional to 309,505.84, 464,227.80 and 99,087.28

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Solution

The fourth proportional to 309,505.84, 464,227.80 and 99,087.28 is: 148,621.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,505.84 : 464,227.80 = 99,087.28 : x
  2. Step 2: Convert to fraction form
    309,505.84/464,227.80 = 99,087.28/x
  3. Step 3: Cross multiply
    309,505.84x = 464,227.80 × 99,087.28
  4. Step 4: Simplify right side
    309,505.84x = 45,999,070,002.38
  5. Step 5: Solve for x
    x = 45,999,070,002.38/309,505.84
  6. Step 6: Final answer
    x = 148,621.01

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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.