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Finding the Fourth Proportional to 542,969.64, 814,726.02 and 243,664.20

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Solution

The fourth proportional to 542,969.64, 814,726.02 and 243,664.20 is: 365,618.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,969.64 : 814,726.02 = 243,664.20 : x
  2. Step 2: Convert to fraction form
    542,969.64/814,726.02 = 243,664.20/x
  3. Step 3: Cross multiply
    542,969.64x = 814,726.02 × 243,664.20
  4. Step 4: Simplify right side
    542,969.64x = 198,519,563,882.48
  5. Step 5: Solve for x
    x = 198,519,563,882.48/542,969.64
  6. Step 6: Final answer
    x = 365,618.17

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1.5x scale

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.