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Finding the Fourth Proportional to 280,273, 386,789.34 and 157,807.54

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Solution

The fourth proportional to 280,273, 386,789.34 and 157,807.54 is: 217,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,273 : 386,789.34 = 157,807.54 : x
  2. Step 2: Convert to fraction form
    280,273/386,789.34 = 157,807.54/x
  3. Step 3: Cross multiply
    280,273x = 386,789.34 × 157,807.54
  4. Step 4: Simplify right side
    280,273x = 61,038,274,243.62
  5. Step 5: Solve for x
    x = 61,038,274,243.62/280,273
  6. Step 6: Final answer
    x = 217,781.50

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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.