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Finding the Fourth Proportional to 383,506.28, 575,276.70 and 146,787.56

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Solution

The fourth proportional to 383,506.28, 575,276.70 and 146,787.56 is: 220,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,506.28 : 575,276.70 = 146,787.56 : x
  2. Step 2: Convert to fraction form
    383,506.28/575,276.70 = 146,787.56/x
  3. Step 3: Cross multiply
    383,506.28x = 575,276.70 × 146,787.56
  4. Step 4: Simplify right side
    383,506.28x = 84,443,463,117.85
  5. Step 5: Solve for x
    x = 84,443,463,117.85/383,506.28
  6. Step 6: Final answer
    x = 220,187.95

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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.