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Finding the Fourth Proportional to 315,314, 435,142.50 and 172,083.20

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Solution

The fourth proportional to 315,314, 435,142.50 and 172,083.20 is: 237,479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,314 : 435,142.50 = 172,083.20 : x
  2. Step 2: Convert to fraction form
    315,314/435,142.50 = 172,083.20/x
  3. Step 3: Cross multiply
    315,314x = 435,142.50 × 172,083.20
  4. Step 4: Simplify right side
    315,314x = 74,880,713,856
  5. Step 5: Solve for x
    x = 74,880,713,856/315,314
  6. Step 6: Final answer
    x = 237,479.83

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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.