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Finding the Fourth Proportional to 477,100.16, 715,649.78 and 122,113.61

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Solution

The fourth proportional to 477,100.16, 715,649.78 and 122,113.61 is: 183,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,100.16 : 715,649.78 = 122,113.61 : x
  2. Step 2: Convert to fraction form
    477,100.16/715,649.78 = 122,113.61/x
  3. Step 3: Cross multiply
    477,100.16x = 715,649.78 × 122,113.61
  4. Step 4: Simplify right side
    477,100.16x = 87,390,577,542.23
  5. Step 5: Solve for x
    x = 87,390,577,542.23/477,100.16
  6. Step 6: Final answer
    x = 183,170.30

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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.