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Finding the Fourth Proportional to 290,041.98, 400,251.86 and 160,972.98

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Solution

The fourth proportional to 290,041.98, 400,251.86 and 160,972.98 is: 222,139.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,041.98 : 400,251.86 = 160,972.98 : x
  2. Step 2: Convert to fraction form
    290,041.98/400,251.86 = 160,972.98/x
  3. Step 3: Cross multiply
    290,041.98x = 400,251.86 × 160,972.98
  4. Step 4: Simplify right side
    290,041.98x = 64,429,734,654.74
  5. Step 5: Solve for x
    x = 64,429,734,654.74/290,041.98
  6. Step 6: Final answer
    x = 222,139.34

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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.