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Finding the Fourth Proportional to 834,330, 1,251,533.88 and 243,354

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Solution

The fourth proportional to 834,330, 1,251,533.88 and 243,354 is: 365,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,330 : 1,251,533.88 = 243,354 : x
  2. Step 2: Convert to fraction form
    834,330/1,251,533.88 = 243,354/x
  3. Step 3: Cross multiply
    834,330x = 1,251,533.88 × 243,354
  4. Step 4: Simplify right side
    834,330x = 304,565,775,833.52
  5. Step 5: Solve for x
    x = 304,565,775,833.52/834,330
  6. Step 6: Final answer
    x = 365,042.34

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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.