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Finding the Fourth Proportional to 285,934.32, 428,225.16 and 248,289.81

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Solution

The fourth proportional to 285,934.32, 428,225.16 and 248,289.81 is: 371,847.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,934.32 : 428,225.16 = 248,289.81 : x
  2. Step 2: Convert to fraction form
    285,934.32/428,225.16 = 248,289.81/x
  3. Step 3: Cross multiply
    285,934.32x = 428,225.16 × 248,289.81
  4. Step 4: Simplify right side
    285,934.32x = 106,323,942,938.86
  5. Step 5: Solve for x
    x = 106,323,942,938.86/285,934.32
  6. Step 6: Final answer
    x = 371,847.43

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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.