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Finding the Fourth Proportional to 286,679.50, 430,019.28 and 99,691

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Solution

The fourth proportional to 286,679.50, 430,019.28 and 99,691 is: 149,536.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,679.50 : 430,019.28 = 99,691 : x
  2. Step 2: Convert to fraction form
    286,679.50/430,019.28 = 99,691/x
  3. Step 3: Cross multiply
    286,679.50x = 430,019.28 × 99,691
  4. Step 4: Simplify right side
    286,679.50x = 42,869,052,042.48
  5. Step 5: Solve for x
    x = 42,869,052,042.48/286,679.50
  6. Step 6: Final answer
    x = 149,536.51

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1.5x scale

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.