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Finding the Fourth Proportional to 202,978.30, 304,467.45 and 97,807.90

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Solution

The fourth proportional to 202,978.30, 304,467.45 and 97,807.90 is: 146,711.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,978.30 : 304,467.45 = 97,807.90 : x
  2. Step 2: Convert to fraction form
    202,978.30/304,467.45 = 97,807.90/x
  3. Step 3: Cross multiply
    202,978.30x = 304,467.45 × 97,807.90
  4. Step 4: Simplify right side
    202,978.30x = 29,779,321,902.86
  5. Step 5: Solve for x
    x = 29,779,321,902.86/202,978.30
  6. Step 6: Final answer
    x = 146,711.85

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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.