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Finding the Fourth Proportional to 228,507, 315,375.24 and 130,390.42

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Solution

The fourth proportional to 228,507, 315,375.24 and 130,390.42 is: 179,959.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,507 : 315,375.24 = 130,390.42 : x
  2. Step 2: Convert to fraction form
    228,507/315,375.24 = 130,390.42/x
  3. Step 3: Cross multiply
    228,507x = 315,375.24 × 130,390.42
  4. Step 4: Simplify right side
    228,507x = 41,121,910,001.20
  5. Step 5: Solve for x
    x = 41,121,910,001.20/228,507
  6. Step 6: Final answer
    x = 179,959.08

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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.