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Finding the Fourth Proportional to 315,677.76, 435,628.23 and 172,438.37

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Solution

The fourth proportional to 315,677.76, 435,628.23 and 172,438.37 is: 237,961.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,677.76 : 435,628.23 = 172,438.37 : x
  2. Step 2: Convert to fraction form
    315,677.76/435,628.23 = 172,438.37/x
  3. Step 3: Cross multiply
    315,677.76x = 435,628.23 × 172,438.37
  4. Step 4: Simplify right side
    315,677.76x = 75,119,020,716.01
  5. Step 5: Solve for x
    x = 75,119,020,716.01/315,677.76
  6. Step 6: Final answer
    x = 237,961.08

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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.