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Finding the Fourth Proportional to 306,953.46, 423,579.21 and 169,127.78

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Solution

The fourth proportional to 306,953.46, 423,579.21 and 169,127.78 is: 233,387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,953.46 : 423,579.21 = 169,127.78 : x
  2. Step 2: Convert to fraction form
    306,953.46/423,579.21 = 169,127.78/x
  3. Step 3: Cross multiply
    306,953.46x = 423,579.21 × 169,127.78
  4. Step 4: Simplify right side
    306,953.46x = 71,639,009,323.56
  5. Step 5: Solve for x
    x = 71,639,009,323.56/306,953.46
  6. Step 6: Final answer
    x = 233,387.20

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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.