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Finding the Fourth Proportional to 278,304.33, 384,061.08 and 150,980.82

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Solution

The fourth proportional to 278,304.33, 384,061.08 and 150,980.82 is: 208,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,304.33 : 384,061.08 = 150,980.82 : x
  2. Step 2: Convert to fraction form
    278,304.33/384,061.08 = 150,980.82/x
  3. Step 3: Cross multiply
    278,304.33x = 384,061.08 × 150,980.82
  4. Step 4: Simplify right side
    278,304.33x = 57,985,856,788.49
  5. Step 5: Solve for x
    x = 57,985,856,788.49/278,304.33
  6. Step 6: Final answer
    x = 208,354.13

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1.5x scale

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.