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Finding the Fourth Proportional to 285,820.79, 428,641.29 and 103,428.05

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Solution

The fourth proportional to 285,820.79, 428,641.29 and 103,428.05 is: 155,109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,820.79 : 428,641.29 = 103,428.05 : x
  2. Step 2: Convert to fraction form
    285,820.79/428,641.29 = 103,428.05/x
  3. Step 3: Cross multiply
    285,820.79x = 428,641.29 × 103,428.05
  4. Step 4: Simplify right side
    285,820.79x = 44,333,530,630.98
  5. Step 5: Solve for x
    x = 44,333,530,630.98/285,820.79
  6. Step 6: Final answer
    x = 155,109.54

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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.