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Finding the Fourth Proportional to 287,235.43, 430,850.12 and 74,002.48

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Solution

The fourth proportional to 287,235.43, 430,850.12 and 74,002.48 is: 111,002.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,235.43 : 430,850.12 = 74,002.48 : x
  2. Step 2: Convert to fraction form
    287,235.43/430,850.12 = 74,002.48/x
  3. Step 3: Cross multiply
    287,235.43x = 430,850.12 × 74,002.48
  4. Step 4: Simplify right side
    287,235.43x = 31,883,975,941.16
  5. Step 5: Solve for x
    x = 31,883,975,941.16/287,235.43
  6. Step 6: Final answer
    x = 111,002.94

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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.