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Finding the Fourth Proportional to 280,653.16, 387,301.74 and 159,794.50

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Solution

The fourth proportional to 280,653.16, 387,301.74 and 159,794.50 is: 220,516.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,653.16 : 387,301.74 = 159,794.50 : x
  2. Step 2: Convert to fraction form
    280,653.16/387,301.74 = 159,794.50/x
  3. Step 3: Cross multiply
    280,653.16x = 387,301.74 × 159,794.50
  4. Step 4: Simplify right side
    280,653.16x = 61,888,687,892.43
  5. Step 5: Solve for x
    x = 61,888,687,892.43/280,653.16
  6. Step 6: Final answer
    x = 220,516.63

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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.