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Finding the Fourth Proportional to 280,139.04, 420,294.16 and 167,944.16

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Solution

The fourth proportional to 280,139.04, 420,294.16 and 167,944.16 is: 251,967.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,139.04 : 420,294.16 = 167,944.16 : x
  2. Step 2: Convert to fraction form
    280,139.04/420,294.16 = 167,944.16/x
  3. Step 3: Cross multiply
    280,139.04x = 420,294.16 × 167,944.16
  4. Step 4: Simplify right side
    280,139.04x = 70,585,949,654.11
  5. Step 5: Solve for x
    x = 70,585,949,654.11/280,139.04
  6. Step 6: Final answer
    x = 251,967.56

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1.5x scale

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.