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Finding the Fourth Proportional to 278,006.50, 417,013.40 and 91,018

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Solution

The fourth proportional to 278,006.50, 417,013.40 and 91,018 is: 136,528.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,006.50 : 417,013.40 = 91,018 : x
  2. Step 2: Convert to fraction form
    278,006.50/417,013.40 = 91,018/x
  3. Step 3: Cross multiply
    278,006.50x = 417,013.40 × 91,018
  4. Step 4: Simplify right side
    278,006.50x = 37,955,725,641.20
  5. Step 5: Solve for x
    x = 37,955,725,641.20/278,006.50
  6. Step 6: Final answer
    x = 136,528.19

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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.