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Finding the Fourth Proportional to 396,415.07, 547,053.15 and 215,127.01

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Solution

The fourth proportional to 396,415.07, 547,053.15 and 215,127.01 is: 296,875.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,415.07 : 547,053.15 = 215,127.01 : x
  2. Step 2: Convert to fraction form
    396,415.07/547,053.15 = 215,127.01/x
  3. Step 3: Cross multiply
    396,415.07x = 547,053.15 × 215,127.01
  4. Step 4: Simplify right side
    396,415.07x = 117,685,908,470.58
  5. Step 5: Solve for x
    x = 117,685,908,470.58/396,415.07
  6. Step 6: Final answer
    x = 296,875.47

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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.