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Finding the Fourth Proportional to 347,726.80, 521,201.40 and 148,013.20

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Solution

The fourth proportional to 347,726.80, 521,201.40 and 148,013.20 is: 221,854.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,726.80 : 521,201.40 = 148,013.20 : x
  2. Step 2: Convert to fraction form
    347,726.80/521,201.40 = 148,013.20/x
  3. Step 3: Cross multiply
    347,726.80x = 521,201.40 × 148,013.20
  4. Step 4: Simplify right side
    347,726.80x = 77,144,687,058.48
  5. Step 5: Solve for x
    x = 77,144,687,058.48/347,726.80
  6. Step 6: Final answer
    x = 221,854.30

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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.