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Finding the Fourth Proportional to 280,232.34, 386,729.13 and 159,391.01

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Solution

The fourth proportional to 280,232.34, 386,729.13 and 159,391.01 is: 219,964.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,232.34 : 386,729.13 = 159,391.01 : x
  2. Step 2: Convert to fraction form
    280,232.34/386,729.13 = 159,391.01/x
  3. Step 3: Cross multiply
    280,232.34x = 386,729.13 × 159,391.01
  4. Step 4: Simplify right side
    280,232.34x = 61,641,144,693.48
  5. Step 5: Solve for x
    x = 61,641,144,693.48/280,232.34
  6. Step 6: Final answer
    x = 219,964.42

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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.