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Finding the Fourth Proportional to 315,433.26, 435,298.68 and 172,193.40

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Solution

The fourth proportional to 315,433.26, 435,298.68 and 172,193.40 is: 237,627.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,433.26 : 435,298.68 = 172,193.40 : x
  2. Step 2: Convert to fraction form
    315,433.26/435,298.68 = 172,193.40/x
  3. Step 3: Cross multiply
    315,433.26x = 435,298.68 × 172,193.40
  4. Step 4: Simplify right side
    315,433.26x = 74,955,559,724.71
  5. Step 5: Solve for x
    x = 74,955,559,724.71/315,433.26
  6. Step 6: Final answer
    x = 237,627.32

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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.