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Finding the Fourth Proportional to 311,424.48, 429,765.76 and 168,184.51

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Solution

The fourth proportional to 311,424.48, 429,765.76 and 168,184.51 is: 232,094.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,424.48 : 429,765.76 = 168,184.51 : x
  2. Step 2: Convert to fraction form
    311,424.48/429,765.76 = 168,184.51/x
  3. Step 3: Cross multiply
    311,424.48x = 429,765.76 × 168,184.51
  4. Step 4: Simplify right side
    311,424.48x = 72,279,943,760.38
  5. Step 5: Solve for x
    x = 72,279,943,760.38/311,424.48
  6. Step 6: Final answer
    x = 232,094.61

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1.5x scale

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.