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Finding the Fourth Proportional to 280,735.14, 387,454 and 178,728.02

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Solution

The fourth proportional to 280,735.14, 387,454 and 178,728.02 is: 246,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,735.14 : 387,454 = 178,728.02 : x
  2. Step 2: Convert to fraction form
    280,735.14/387,454 = 178,728.02/x
  3. Step 3: Cross multiply
    280,735.14x = 387,454 × 178,728.02
  4. Step 4: Simplify right side
    280,735.14x = 69,248,886,261.08
  5. Step 5: Solve for x
    x = 69,248,886,261.08/280,735.14
  6. Step 6: Final answer
    x = 246,669.82

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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.