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Finding the Fourth Proportional to 477,332.78, 658,742.91 and 296,103.11

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Solution

The fourth proportional to 477,332.78, 658,742.91 and 296,103.11 is: 408,636.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,332.78 : 658,742.91 = 296,103.11 : x
  2. Step 2: Convert to fraction form
    477,332.78/658,742.91 = 296,103.11/x
  3. Step 3: Cross multiply
    477,332.78x = 658,742.91 × 296,103.11
  4. Step 4: Simplify right side
    477,332.78x = 195,055,821,047.74
  5. Step 5: Solve for x
    x = 195,055,821,047.74/477,332.78
  6. Step 6: Final answer
    x = 408,636.97

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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.