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Finding the Fourth Proportional to 315,328.77, 435,154.92 and 172,092

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Solution

The fourth proportional to 315,328.77, 435,154.92 and 172,092 is: 237,487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,328.77 : 435,154.92 = 172,092 : x
  2. Step 2: Convert to fraction form
    315,328.77/435,154.92 = 172,092/x
  3. Step 3: Cross multiply
    315,328.77x = 435,154.92 × 172,092
  4. Step 4: Simplify right side
    315,328.77x = 74,886,680,492.64
  5. Step 5: Solve for x
    x = 74,886,680,492.64/315,328.77
  6. Step 6: Final answer
    x = 237,487.62

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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.