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Finding the Fourth Proportional to 253,709.38, 380,607.30 and 87,458.50

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Solution

The fourth proportional to 253,709.38, 380,607.30 and 87,458.50 is: 131,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,709.38 : 380,607.30 = 87,458.50 : x
  2. Step 2: Convert to fraction form
    253,709.38/380,607.30 = 87,458.50/x
  3. Step 3: Cross multiply
    253,709.38x = 380,607.30 × 87,458.50
  4. Step 4: Simplify right side
    253,709.38x = 33,287,343,547.05
  5. Step 5: Solve for x
    x = 33,287,343,547.05/253,709.38
  6. Step 6: Final answer
    x = 131,202.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.