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Finding the Fourth Proportional to 427,729.64, 642,424.84 and 314,964.48

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Solution

The fourth proportional to 427,729.64, 642,424.84 and 314,964.48 is: 473,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,729.64 : 642,424.84 = 314,964.48 : x
  2. Step 2: Convert to fraction form
    427,729.64/642,424.84 = 314,964.48/x
  3. Step 3: Cross multiply
    427,729.64x = 642,424.84 × 314,964.48
  4. Step 4: Simplify right side
    427,729.64x = 202,341,005,669.68
  5. Step 5: Solve for x
    x = 202,341,005,669.68/427,729.64
  6. Step 6: Final answer
    x = 473,058.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.