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Finding the Fourth Proportional to 286,735.04, 395,697.24 and 157,680.32

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Solution

The fourth proportional to 286,735.04, 395,697.24 and 157,680.32 is: 217,600.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,735.04 : 395,697.24 = 157,680.32 : x
  2. Step 2: Convert to fraction form
    286,735.04/395,697.24 = 157,680.32/x
  3. Step 3: Cross multiply
    286,735.04x = 395,697.24 × 157,680.32
  4. Step 4: Simplify right side
    286,735.04x = 62,393,667,426.32
  5. Step 5: Solve for x
    x = 62,393,667,426.32/286,735.04
  6. Step 6: Final answer
    x = 217,600.43

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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.