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Finding the Fourth Proportional to 299,115, 412,764.12 and 178,253.52

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Solution

The fourth proportional to 299,115, 412,764.12 and 178,253.52 is: 245,981.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,115 : 412,764.12 = 178,253.52 : x
  2. Step 2: Convert to fraction form
    299,115/412,764.12 = 178,253.52/x
  3. Step 3: Cross multiply
    299,115x = 412,764.12 × 178,253.52
  4. Step 4: Simplify right side
    299,115x = 73,576,657,319.70
  5. Step 5: Solve for x
    x = 73,576,657,319.70/299,115
  6. Step 6: Final answer
    x = 245,981.17

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1.5x scale

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.