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Finding the Fourth Proportional to 286,419.52, 395,265.16 and 157,359.64

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Solution

The fourth proportional to 286,419.52, 395,265.16 and 157,359.64 is: 217,159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,419.52 : 395,265.16 = 157,359.64 : x
  2. Step 2: Convert to fraction form
    286,419.52/395,265.16 = 157,359.64/x
  3. Step 3: Cross multiply
    286,419.52x = 395,265.16 × 157,359.64
  4. Step 4: Simplify right side
    286,419.52x = 62,198,783,282.14
  5. Step 5: Solve for x
    x = 62,198,783,282.14/286,419.52
  6. Step 6: Final answer
    x = 217,159.72

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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.