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Finding the Fourth Proportional to 473,863.64, 654,003.06 and 290,211.80

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Solution

The fourth proportional to 473,863.64, 654,003.06 and 290,211.80 is: 400,535.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,863.64 : 654,003.06 = 290,211.80 : x
  2. Step 2: Convert to fraction form
    473,863.64/654,003.06 = 290,211.80/x
  3. Step 3: Cross multiply
    473,863.64x = 654,003.06 × 290,211.80
  4. Step 4: Simplify right side
    473,863.64x = 189,799,405,248.11
  5. Step 5: Solve for x
    x = 189,799,405,248.11/473,863.64
  6. Step 6: Final answer
    x = 400,535.91

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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.