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Finding the Fourth Proportional to 309,328.96, 464,062.48 and 98,979.52

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Solution

The fourth proportional to 309,328.96, 464,062.48 and 98,979.52 is: 148,491.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,328.96 : 464,062.48 = 98,979.52 : x
  2. Step 2: Convert to fraction form
    309,328.96/464,062.48 = 98,979.52/x
  3. Step 3: Cross multiply
    309,328.96x = 464,062.48 × 98,979.52
  4. Step 4: Simplify right side
    309,328.96x = 45,932,681,520.41
  5. Step 5: Solve for x
    x = 45,932,681,520.41/309,328.96
  6. Step 6: Final answer
    x = 148,491.37

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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.