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Finding the Fourth Proportional to 220,429.20, 330,643.80 and 141,697.20

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Solution

The fourth proportional to 220,429.20, 330,643.80 and 141,697.20 is: 212,545.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,429.20 : 330,643.80 = 141,697.20 : x
  2. Step 2: Convert to fraction form
    220,429.20/330,643.80 = 141,697.20/x
  3. Step 3: Cross multiply
    220,429.20x = 330,643.80 × 141,697.20
  4. Step 4: Simplify right side
    220,429.20x = 46,851,300,657.36
  5. Step 5: Solve for x
    x = 46,851,300,657.36/220,429.20
  6. Step 6: Final answer
    x = 212,545.80

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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.