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Finding the Fourth Proportional to 298,612.16, 412,013.22 and 169,521.92

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Solution

The fourth proportional to 298,612.16, 412,013.22 and 169,521.92 is: 233,899.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,612.16 : 412,013.22 = 169,521.92 : x
  2. Step 2: Convert to fraction form
    298,612.16/412,013.22 = 169,521.92/x
  3. Step 3: Cross multiply
    298,612.16x = 412,013.22 × 169,521.92
  4. Step 4: Simplify right side
    298,612.16x = 69,845,272,119.78
  5. Step 5: Solve for x
    x = 69,845,272,119.78/298,612.16
  6. Step 6: Final answer
    x = 233,899.62

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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.