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Finding the Fourth Proportional to 477,672.90, 715,547.64 and 221,143.87

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Solution

The fourth proportional to 477,672.90, 715,547.64 and 221,143.87 is: 331,270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,672.90 : 715,547.64 = 221,143.87 : x
  2. Step 2: Convert to fraction form
    477,672.90/715,547.64 = 221,143.87/x
  3. Step 3: Cross multiply
    477,672.90x = 715,547.64 × 221,143.87
  4. Step 4: Simplify right side
    477,672.90x = 158,238,974,278.97
  5. Step 5: Solve for x
    x = 158,238,974,278.97/477,672.90
  6. Step 6: Final answer
    x = 331,270.57

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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.