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Finding the Fourth Proportional to 348,013, 521,956.86 and 158,428.12

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Solution

The fourth proportional to 348,013, 521,956.86 and 158,428.12 is: 237,613.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,013 : 521,956.86 = 158,428.12 : x
  2. Step 2: Convert to fraction form
    348,013/521,956.86 = 158,428.12/x
  3. Step 3: Cross multiply
    348,013x = 521,956.86 × 158,428.12
  4. Step 4: Simplify right side
    348,013x = 82,692,644,050.90
  5. Step 5: Solve for x
    x = 82,692,644,050.90/348,013
  6. Step 6: Final answer
    x = 237,613.66

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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.