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Finding the Fourth Proportional to 408,051.40, 612,077.10 and 141,838.83

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Solution

The fourth proportional to 408,051.40, 612,077.10 and 141,838.83 is: 212,758.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,051.40 : 612,077.10 = 141,838.83 : x
  2. Step 2: Convert to fraction form
    408,051.40/612,077.10 = 141,838.83/x
  3. Step 3: Cross multiply
    408,051.40x = 612,077.10 × 141,838.83
  4. Step 4: Simplify right side
    408,051.40x = 86,816,299,733.79
  5. Step 5: Solve for x
    x = 86,816,299,733.79/408,051.40
  6. Step 6: Final answer
    x = 212,758.25

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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.