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Finding the Fourth Proportional to 768,002.96, 1,151,146.04 and 287,768.74

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Solution

The fourth proportional to 768,002.96, 1,151,146.04 and 287,768.74 is: 431,331.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,002.96 : 1,151,146.04 = 287,768.74 : x
  2. Step 2: Convert to fraction form
    768,002.96/1,151,146.04 = 287,768.74/x
  3. Step 3: Cross multiply
    768,002.96x = 1,151,146.04 × 287,768.74
  4. Step 4: Simplify right side
    768,002.96x = 331,263,845,486.79
  5. Step 5: Solve for x
    x = 331,263,845,486.79/768,002.96
  6. Step 6: Final answer
    x = 431,331.47

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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.