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Finding the Fourth Proportional to 280,766.93, 420,953.13 and 98,353.10

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Solution

The fourth proportional to 280,766.93, 420,953.13 and 98,353.10 is: 147,460.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,766.93 : 420,953.13 = 98,353.10 : x
  2. Step 2: Convert to fraction form
    280,766.93/420,953.13 = 98,353.10/x
  3. Step 3: Cross multiply
    280,766.93x = 420,953.13 × 98,353.10
  4. Step 4: Simplify right side
    280,766.93x = 41,402,046,342.59
  5. Step 5: Solve for x
    x = 41,402,046,342.59/280,766.93
  6. Step 6: Final answer
    x = 147,460.55

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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.