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Finding the Fourth Proportional to 301,264.32, 415,759.85 and 172,209.45

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Solution

The fourth proportional to 301,264.32, 415,759.85 and 172,209.45 is: 237,657.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,264.32 : 415,759.85 = 172,209.45 : x
  2. Step 2: Convert to fraction form
    301,264.32/415,759.85 = 172,209.45/x
  3. Step 3: Cross multiply
    301,264.32x = 415,759.85 × 172,209.45
  4. Step 4: Simplify right side
    301,264.32x = 71,597,775,100.58
  5. Step 5: Solve for x
    x = 71,597,775,100.58/301,264.32
  6. Step 6: Final answer
    x = 237,657.67

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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.