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Finding the Fourth Proportional to 328,549.92, 492,749.55 and 91,909.32

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Solution

The fourth proportional to 328,549.92, 492,749.55 and 91,909.32 is: 137,842.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,549.92 : 492,749.55 = 91,909.32 : x
  2. Step 2: Convert to fraction form
    328,549.92/492,749.55 = 91,909.32/x
  3. Step 3: Cross multiply
    328,549.92x = 492,749.55 × 91,909.32
  4. Step 4: Simplify right side
    328,549.92x = 45,288,276,070.81
  5. Step 5: Solve for x
    x = 45,288,276,070.81/328,549.92
  6. Step 6: Final answer
    x = 137,842.91

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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.