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Finding the Fourth Proportional to 325,565.60, 489,098.86 and 312,113.84

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Solution

The fourth proportional to 325,565.60, 489,098.86 and 312,113.84 is: 468,890.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,565.60 : 489,098.86 = 312,113.84 : x
  2. Step 2: Convert to fraction form
    325,565.60/489,098.86 = 312,113.84/x
  3. Step 3: Cross multiply
    325,565.60x = 489,098.86 × 312,113.84
  4. Step 4: Simplify right side
    325,565.60x = 152,654,523,334.22
  5. Step 5: Solve for x
    x = 152,654,523,334.22/325,565.60
  6. Step 6: Final answer
    x = 468,890.21

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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.