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Finding the Fourth Proportional to 290,542.50, 400,970.52 and 177,387.12

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Solution

The fourth proportional to 290,542.50, 400,970.52 and 177,387.12 is: 244,807.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,542.50 : 400,970.52 = 177,387.12 : x
  2. Step 2: Convert to fraction form
    290,542.50/400,970.52 = 177,387.12/x
  3. Step 3: Cross multiply
    290,542.50x = 400,970.52 × 177,387.12
  4. Step 4: Simplify right side
    290,542.50x = 71,127,005,747.70
  5. Step 5: Solve for x
    x = 71,127,005,747.70/290,542.50
  6. Step 6: Final answer
    x = 244,807.58

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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.