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Finding the Fourth Proportional to 315,877.64, 435,910.10 and 172,637.64

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Solution

The fourth proportional to 315,877.64, 435,910.10 and 172,637.64 is: 238,239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,877.64 : 435,910.10 = 172,637.64 : x
  2. Step 2: Convert to fraction form
    315,877.64/435,910.10 = 172,637.64/x
  3. Step 3: Cross multiply
    315,877.64x = 435,910.10 × 172,637.64
  4. Step 4: Simplify right side
    315,877.64x = 75,254,490,052.98
  5. Step 5: Solve for x
    x = 75,254,490,052.98/315,877.64
  6. Step 6: Final answer
    x = 238,239.37

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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.