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Finding the Fourth Proportional to 314,881.55, 434,520.10 and 178,896.61

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Solution

The fourth proportional to 314,881.55, 434,520.10 and 178,896.61 is: 246,867.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,881.55 : 434,520.10 = 178,896.61 : x
  2. Step 2: Convert to fraction form
    314,881.55/434,520.10 = 178,896.61/x
  3. Step 3: Cross multiply
    314,881.55x = 434,520.10 × 178,896.61
  4. Step 4: Simplify right side
    314,881.55x = 77,734,172,866.86
  5. Step 5: Solve for x
    x = 77,734,172,866.86/314,881.55
  6. Step 6: Final answer
    x = 246,867.98

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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.