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Finding the Fourth Proportional to 328,098.30, 492,147.45 and 78,780.30

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Solution

The fourth proportional to 328,098.30, 492,147.45 and 78,780.30 is: 118,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,098.30 : 492,147.45 = 78,780.30 : x
  2. Step 2: Convert to fraction form
    328,098.30/492,147.45 = 78,780.30/x
  3. Step 3: Cross multiply
    328,098.30x = 492,147.45 × 78,780.30
  4. Step 4: Simplify right side
    328,098.30x = 38,771,523,755.24
  5. Step 5: Solve for x
    x = 38,771,523,755.24/328,098.30
  6. Step 6: Final answer
    x = 118,170.45

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1.5x scale

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.