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Finding the Fourth Proportional to 220,762.80, 304,746.30 and 149,239.80

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Solution

The fourth proportional to 220,762.80, 304,746.30 and 149,239.80 is: 206,014.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,762.80 : 304,746.30 = 149,239.80 : x
  2. Step 2: Convert to fraction form
    220,762.80/304,746.30 = 149,239.80/x
  3. Step 3: Cross multiply
    220,762.80x = 304,746.30 × 149,239.80
  4. Step 4: Simplify right side
    220,762.80x = 45,480,276,862.74
  5. Step 5: Solve for x
    x = 45,480,276,862.74/220,762.80
  6. Step 6: Final answer
    x = 206,014.22

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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.