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Finding the Fourth Proportional to 278,931, 384,921.84 and 151,605.66

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Solution

The fourth proportional to 278,931, 384,921.84 and 151,605.66 is: 209,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,931 : 384,921.84 = 151,605.66 : x
  2. Step 2: Convert to fraction form
    278,931/384,921.84 = 151,605.66/x
  3. Step 3: Cross multiply
    278,931x = 384,921.84 × 151,605.66
  4. Step 4: Simplify right side
    278,931x = 58,356,329,601.61
  5. Step 5: Solve for x
    x = 58,356,329,601.61/278,931
  6. Step 6: Final answer
    x = 209,214.21

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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.