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Finding the Fourth Proportional to 285,843.36, 428,829.84 and 98,856.48

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Solution

The fourth proportional to 285,843.36, 428,829.84 and 98,856.48 is: 148,307.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,843.36 : 428,829.84 = 98,856.48 : x
  2. Step 2: Convert to fraction form
    285,843.36/428,829.84 = 98,856.48/x
  3. Step 3: Cross multiply
    285,843.36x = 428,829.84 × 98,856.48
  4. Step 4: Simplify right side
    285,843.36x = 42,392,608,501.36
  5. Step 5: Solve for x
    x = 42,392,608,501.36/285,843.36
  6. Step 6: Final answer
    x = 148,307.13

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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.