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Finding the Fourth Proportional to 280,574.13, 421,123.64 and 138,579.75

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Solution

The fourth proportional to 280,574.13, 421,123.64 and 138,579.75 is: 207,999.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,574.13 : 421,123.64 = 138,579.75 : x
  2. Step 2: Convert to fraction form
    280,574.13/421,123.64 = 138,579.75/x
  3. Step 3: Cross multiply
    280,574.13x = 421,123.64 × 138,579.75
  4. Step 4: Simplify right side
    280,574.13x = 58,359,208,750.29
  5. Step 5: Solve for x
    x = 58,359,208,750.29/280,574.13
  6. Step 6: Final answer
    x = 207,999.25

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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.