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Finding the Fourth Proportional to 285,320.17, 428,045.88 and 85,644.34

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Solution

The fourth proportional to 285,320.17, 428,045.88 and 85,644.34 is: 128,486.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,320.17 : 428,045.88 = 85,644.34 : x
  2. Step 2: Convert to fraction form
    285,320.17/428,045.88 = 85,644.34/x
  3. Step 3: Cross multiply
    285,320.17x = 428,045.88 × 85,644.34
  4. Step 4: Simplify right side
    285,320.17x = 36,659,706,133.37
  5. Step 5: Solve for x
    x = 36,659,706,133.37/285,320.17
  6. Step 6: Final answer
    x = 128,486.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.