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Finding the Fourth Proportional to 438,364.80, 657,182.70 and 185,839.20

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Solution

The fourth proportional to 438,364.80, 657,182.70 and 185,839.20 is: 278,604.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,364.80 : 657,182.70 = 185,839.20 : x
  2. Step 2: Convert to fraction form
    438,364.80/657,182.70 = 185,839.20/x
  3. Step 3: Cross multiply
    438,364.80x = 657,182.70 × 185,839.20
  4. Step 4: Simplify right side
    438,364.80x = 122,130,307,221.84
  5. Step 5: Solve for x
    x = 122,130,307,221.84/438,364.80
  6. Step 6: Final answer
    x = 278,604.27

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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.