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Finding the Fourth Proportional to 228,497.76, 342,824.40 and 117,612

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Solution

The fourth proportional to 228,497.76, 342,824.40 and 117,612 is: 176,458.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,497.76 : 342,824.40 = 117,612 : x
  2. Step 2: Convert to fraction form
    228,497.76/342,824.40 = 117,612/x
  3. Step 3: Cross multiply
    228,497.76x = 342,824.40 × 117,612
  4. Step 4: Simplify right side
    228,497.76x = 40,320,263,332.80
  5. Step 5: Solve for x
    x = 40,320,263,332.80/228,497.76
  6. Step 6: Final answer
    x = 176,458.02

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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.