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Finding the Fourth Proportional to 315,671, 435,623.40 and 172,431.08

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Solution

The fourth proportional to 315,671, 435,623.40 and 172,431.08 is: 237,953.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,671 : 435,623.40 = 172,431.08 : x
  2. Step 2: Convert to fraction form
    315,671/435,623.40 = 172,431.08/x
  3. Step 3: Cross multiply
    315,671x = 435,623.40 × 172,431.08
  4. Step 4: Simplify right side
    315,671x = 75,115,013,335.27
  5. Step 5: Solve for x
    x = 75,115,013,335.27/315,671
  6. Step 6: Final answer
    x = 237,953.48

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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.