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Finding the Fourth Proportional to 424,032.48, 636,186.78 and 199,415.28

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Solution

The fourth proportional to 424,032.48, 636,186.78 and 199,415.28 is: 299,187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,032.48 : 636,186.78 = 199,415.28 : x
  2. Step 2: Convert to fraction form
    424,032.48/636,186.78 = 199,415.28/x
  3. Step 3: Cross multiply
    424,032.48x = 636,186.78 × 199,415.28
  4. Step 4: Simplify right side
    424,032.48x = 126,865,364,866.00
  5. Step 5: Solve for x
    x = 126,865,364,866.00/424,032.48
  6. Step 6: Final answer
    x = 299,187.85

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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.