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Finding the Fourth Proportional to 311,416.61, 429,754.93 and 168,176.66

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Solution

The fourth proportional to 311,416.61, 429,754.93 and 168,176.66 is: 232,083.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,416.61 : 429,754.93 = 168,176.66 : x
  2. Step 2: Convert to fraction form
    311,416.61/429,754.93 = 168,176.66/x
  3. Step 3: Cross multiply
    311,416.61x = 429,754.93 × 168,176.66
  4. Step 4: Simplify right side
    311,416.61x = 72,274,746,176.72
  5. Step 5: Solve for x
    x = 72,274,746,176.72/311,416.61
  6. Step 6: Final answer
    x = 232,083.79

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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.