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Finding the Fourth Proportional to 285,659.17, 428,703.85 and 195,486.01

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Solution

The fourth proportional to 285,659.17, 428,703.85 and 195,486.01 is: 293,376.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,659.17 : 428,703.85 = 195,486.01 : x
  2. Step 2: Convert to fraction form
    285,659.17/428,703.85 = 195,486.01/x
  3. Step 3: Cross multiply
    285,659.17x = 428,703.85 × 195,486.01
  4. Step 4: Simplify right side
    285,659.17x = 83,805,604,280.74
  5. Step 5: Solve for x
    x = 83,805,604,280.74/285,659.17
  6. Step 6: Final answer
    x = 293,376.21

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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.