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Finding the Fourth Proportional to 392,127.06, 540,703.10 and 271,058.16

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Solution

The fourth proportional to 392,127.06, 540,703.10 and 271,058.16 is: 373,761.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,127.06 : 540,703.10 = 271,058.16 : x
  2. Step 2: Convert to fraction form
    392,127.06/540,703.10 = 271,058.16/x
  3. Step 3: Cross multiply
    392,127.06x = 540,703.10 × 271,058.16
  4. Step 4: Simplify right side
    392,127.06x = 146,561,986,037.01
  5. Step 5: Solve for x
    x = 146,561,986,037.01/392,127.06
  6. Step 6: Final answer
    x = 373,761.47

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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.