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Finding the Fourth Proportional to 238,205.78, 328,724.56 and 130,782.74

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Solution

The fourth proportional to 238,205.78, 328,724.56 and 130,782.74 is: 180,480.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,205.78 : 328,724.56 = 130,782.74 : x
  2. Step 2: Convert to fraction form
    238,205.78/328,724.56 = 130,782.74/x
  3. Step 3: Cross multiply
    238,205.78x = 328,724.56 × 130,782.74
  4. Step 4: Simplify right side
    238,205.78x = 42,991,497,181.95
  5. Step 5: Solve for x
    x = 42,991,497,181.95/238,205.78
  6. Step 6: Final answer
    x = 180,480.50

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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.