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Finding the Fourth Proportional to 306,061.79, 422,366.14 and 170,095.32

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Solution

The fourth proportional to 306,061.79, 422,366.14 and 170,095.32 is: 234,732.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,061.79 : 422,366.14 = 170,095.32 : x
  2. Step 2: Convert to fraction form
    306,061.79/422,366.14 = 170,095.32/x
  3. Step 3: Cross multiply
    306,061.79x = 422,366.14 × 170,095.32
  4. Step 4: Simplify right side
    306,061.79x = 71,842,503,740.46
  5. Step 5: Solve for x
    x = 71,842,503,740.46/306,061.79
  6. Step 6: Final answer
    x = 234,732.02

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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.