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Finding the Fourth Proportional to 318,102.74, 476,509.61 and 147,081.40

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Solution

The fourth proportional to 318,102.74, 476,509.61 and 147,081.40 is: 220,324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,102.74 : 476,509.61 = 147,081.40 : x
  2. Step 2: Convert to fraction form
    318,102.74/476,509.61 = 147,081.40/x
  3. Step 3: Cross multiply
    318,102.74x = 476,509.61 × 147,081.40
  4. Step 4: Simplify right side
    318,102.74x = 70,085,699,728.68
  5. Step 5: Solve for x
    x = 70,085,699,728.68/318,102.74
  6. Step 6: Final answer
    x = 220,324.10

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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.