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Finding the Fourth Proportional to 280,659.10, 387,256.80 and 159,793.06

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Solution

The fourth proportional to 280,659.10, 387,256.80 and 159,793.06 is: 220,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,659.10 : 387,256.80 = 159,793.06 : x
  2. Step 2: Convert to fraction form
    280,659.10/387,256.80 = 159,793.06/x
  3. Step 3: Cross multiply
    280,659.10x = 387,256.80 × 159,793.06
  4. Step 4: Simplify right side
    280,659.10x = 61,880,949,077.81
  5. Step 5: Solve for x
    x = 61,880,949,077.81/280,659.10
  6. Step 6: Final answer
    x = 220,484.39

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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.