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Finding the Fourth Proportional to 238,022.50, 328,471.32 and 137,420.50

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Solution

The fourth proportional to 238,022.50, 328,471.32 and 137,420.50 is: 189,640.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,022.50 : 328,471.32 = 137,420.50 : x
  2. Step 2: Convert to fraction form
    238,022.50/328,471.32 = 137,420.50/x
  3. Step 3: Cross multiply
    238,022.50x = 328,471.32 × 137,420.50
  4. Step 4: Simplify right side
    238,022.50x = 45,138,693,030.06
  5. Step 5: Solve for x
    x = 45,138,693,030.06/238,022.50
  6. Step 6: Final answer
    x = 189,640.45

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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.