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Finding the Fourth Proportional to 298,014.59, 411,412.52 and 229,878.61

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Solution

The fourth proportional to 298,014.59, 411,412.52 and 229,878.61 is: 317,350.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,014.59 : 411,412.52 = 229,878.61 : x
  2. Step 2: Convert to fraction form
    298,014.59/411,412.52 = 229,878.61/x
  3. Step 3: Cross multiply
    298,014.59x = 411,412.52 × 229,878.61
  4. Step 4: Simplify right side
    298,014.59x = 94,574,936,487.30
  5. Step 5: Solve for x
    x = 94,574,936,487.30/298,014.59
  6. Step 6: Final answer
    x = 317,350.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.