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Finding the Fourth Proportional to 438,031.80, 656,683.20 and 185,506.20

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Solution

The fourth proportional to 438,031.80, 656,683.20 and 185,506.20 is: 278,104.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,031.80 : 656,683.20 = 185,506.20 : x
  2. Step 2: Convert to fraction form
    438,031.80/656,683.20 = 185,506.20/x
  3. Step 3: Cross multiply
    438,031.80x = 656,683.20 × 185,506.20
  4. Step 4: Simplify right side
    438,031.80x = 121,818,805,035.84
  5. Step 5: Solve for x
    x = 121,818,805,035.84/438,031.80
  6. Step 6: Final answer
    x = 278,104.93

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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.