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Finding the Fourth Proportional to 210,487.64, 290,472.84 and 119,838.92

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Solution

The fourth proportional to 210,487.64, 290,472.84 and 119,838.92 is: 165,377.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,487.64 : 290,472.84 = 119,838.92 : x
  2. Step 2: Convert to fraction form
    210,487.64/290,472.84 = 119,838.92/x
  3. Step 3: Cross multiply
    210,487.64x = 290,472.84 × 119,838.92
  4. Step 4: Simplify right side
    210,487.64x = 34,809,951,434.93
  5. Step 5: Solve for x
    x = 34,809,951,434.93/210,487.64
  6. Step 6: Final answer
    x = 165,377.65

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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.