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Finding the Fourth Proportional to 278,927.88, 418,290.58 and 152,661.40

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Solution

The fourth proportional to 278,927.88, 418,290.58 and 152,661.40 is: 228,936.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,927.88 : 418,290.58 = 152,661.40 : x
  2. Step 2: Convert to fraction form
    278,927.88/418,290.58 = 152,661.40/x
  3. Step 3: Cross multiply
    278,927.88x = 418,290.58 × 152,661.40
  4. Step 4: Simplify right side
    278,927.88x = 63,856,825,549.61
  5. Step 5: Solve for x
    x = 63,856,825,549.61/278,927.88
  6. Step 6: Final answer
    x = 228,936.69

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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.