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Finding the Fourth Proportional to 361,407.80, 541,722.90 and 136,681.40

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Solution

The fourth proportional to 361,407.80, 541,722.90 and 136,681.40 is: 204,875.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,407.80 : 541,722.90 = 136,681.40 : x
  2. Step 2: Convert to fraction form
    361,407.80/541,722.90 = 136,681.40/x
  3. Step 3: Cross multiply
    361,407.80x = 541,722.90 × 136,681.40
  4. Step 4: Simplify right side
    361,407.80x = 74,043,444,384.06
  5. Step 5: Solve for x
    x = 74,043,444,384.06/361,407.80
  6. Step 6: Final answer
    x = 204,875.06

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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.