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Finding the Fourth Proportional to 477,672.64, 715,547.27 and 221,143.61

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Solution

The fourth proportional to 477,672.64, 715,547.27 and 221,143.61 is: 331,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,672.64 : 715,547.27 = 221,143.61 : x
  2. Step 2: Convert to fraction form
    477,672.64/715,547.27 = 221,143.61/x
  3. Step 3: Cross multiply
    477,672.64x = 715,547.27 × 221,143.61
  4. Step 4: Simplify right side
    477,672.64x = 158,238,708,755.17
  5. Step 5: Solve for x
    x = 158,238,708,755.17/477,672.64
  6. Step 6: Final answer
    x = 331,270.20

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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.