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Finding the Fourth Proportional to 326,091.65, 488,364.19 and 258,406.02

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Solution

The fourth proportional to 326,091.65, 488,364.19 and 258,406.02 is: 386,996.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,091.65 : 488,364.19 = 258,406.02 : x
  2. Step 2: Convert to fraction form
    326,091.65/488,364.19 = 258,406.02/x
  3. Step 3: Cross multiply
    326,091.65x = 488,364.19 × 258,406.02
  4. Step 4: Simplify right side
    326,091.65x = 126,196,246,002.41
  5. Step 5: Solve for x
    x = 126,196,246,002.41/326,091.65
  6. Step 6: Final answer
    x = 386,996.26

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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.