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Finding the Fourth Proportional to 342,394.94, 513,443.62 and 162,531.90

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Solution

The fourth proportional to 342,394.94, 513,443.62 and 162,531.90 is: 243,727.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,394.94 : 513,443.62 = 162,531.90 : x
  2. Step 2: Convert to fraction form
    342,394.94/513,443.62 = 162,531.90/x
  3. Step 3: Cross multiply
    342,394.94x = 513,443.62 × 162,531.90
  4. Step 4: Simplify right side
    342,394.94x = 83,450,969,699.29
  5. Step 5: Solve for x
    x = 83,450,969,699.29/342,394.94
  6. Step 6: Final answer
    x = 243,727.23

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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.