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Finding the Fourth Proportional to 285,308.42, 393,725.55 and 157,983.98

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Solution

The fourth proportional to 285,308.42, 393,725.55 and 157,983.98 is: 218,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,308.42 : 393,725.55 = 157,983.98 : x
  2. Step 2: Convert to fraction form
    285,308.42/393,725.55 = 157,983.98/x
  3. Step 3: Cross multiply
    285,308.42x = 393,725.55 × 157,983.98
  4. Step 4: Simplify right side
    285,308.42x = 62,202,329,416.69
  5. Step 5: Solve for x
    x = 62,202,329,416.69/285,308.42
  6. Step 6: Final answer
    x = 218,017.85

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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.