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Finding the Fourth Proportional to 280,274, 386,790.72 and 157,808.54

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Solution

The fourth proportional to 280,274, 386,790.72 and 157,808.54 is: 217,782.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,274 : 386,790.72 = 157,808.54 : x
  2. Step 2: Convert to fraction form
    280,274/386,790.72 = 157,808.54/x
  3. Step 3: Cross multiply
    280,274x = 386,790.72 × 157,808.54
  4. Step 4: Simplify right side
    280,274x = 61,038,878,808.75
  5. Step 5: Solve for x
    x = 61,038,878,808.75/280,274
  6. Step 6: Final answer
    x = 217,782.88

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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.