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Finding the Fourth Proportional to 294,902.40, 406,972.80 and 181,747.20

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Solution

The fourth proportional to 294,902.40, 406,972.80 and 181,747.20 is: 250,815.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,902.40 : 406,972.80 = 181,747.20 : x
  2. Step 2: Convert to fraction form
    294,902.40/406,972.80 = 181,747.20/x
  3. Step 3: Cross multiply
    294,902.40x = 406,972.80 × 181,747.20
  4. Step 4: Simplify right side
    294,902.40x = 73,966,166,876.16
  5. Step 5: Solve for x
    x = 73,966,166,876.16/294,902.40
  6. Step 6: Final answer
    x = 250,815.75

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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.