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Finding the Fourth Proportional to 358,902.96, 538,438.16 and 118,999.31

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Solution

The fourth proportional to 358,902.96, 538,438.16 and 118,999.31 is: 178,526.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,902.96 : 538,438.16 = 118,999.31 : x
  2. Step 2: Convert to fraction form
    358,902.96/538,438.16 = 118,999.31/x
  3. Step 3: Cross multiply
    358,902.96x = 538,438.16 × 118,999.31
  4. Step 4: Simplify right side
    358,902.96x = 64,073,769,517.67
  5. Step 5: Solve for x
    x = 64,073,769,517.67/358,902.96
  6. Step 6: Final answer
    x = 178,526.72

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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.