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Finding the Fourth Proportional to 285,471.77, 428,207.67 and 119,143.13

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Solution

The fourth proportional to 285,471.77, 428,207.67 and 119,143.13 is: 178,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,471.77 : 428,207.67 = 119,143.13 : x
  2. Step 2: Convert to fraction form
    285,471.77/428,207.67 = 119,143.13/x
  3. Step 3: Cross multiply
    285,471.77x = 428,207.67 × 119,143.13
  4. Step 4: Simplify right side
    285,471.77x = 51,017,999,952.77
  5. Step 5: Solve for x
    x = 51,017,999,952.77/285,471.77
  6. Step 6: Final answer
    x = 178,714.70

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1.5x scale

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.