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Finding the Fourth Proportional to 278,305.61, 384,061.88 and 150,981.19

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Solution

The fourth proportional to 278,305.61, 384,061.88 and 150,981.19 is: 208,354.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,305.61 : 384,061.88 = 150,981.19 : x
  2. Step 2: Convert to fraction form
    278,305.61/384,061.88 = 150,981.19/x
  3. Step 3: Cross multiply
    278,305.61x = 384,061.88 × 150,981.19
  4. Step 4: Simplify right side
    278,305.61x = 57,986,119,093.34
  5. Step 5: Solve for x
    x = 57,986,119,093.34/278,305.61
  6. Step 6: Final answer
    x = 208,354.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.