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Finding the Fourth Proportional to 290,140.20, 434,864.70 and 121,660.20

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Solution

The fourth proportional to 290,140.20, 434,864.70 and 121,660.20 is: 182,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,140.20 : 434,864.70 = 121,660.20 : x
  2. Step 2: Convert to fraction form
    290,140.20/434,864.70 = 121,660.20/x
  3. Step 3: Cross multiply
    290,140.20x = 434,864.70 × 121,660.20
  4. Step 4: Simplify right side
    290,140.20x = 52,905,726,374.94
  5. Step 5: Solve for x
    x = 52,905,726,374.94/290,140.20
  6. Step 6: Final answer
    x = 182,345.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.