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Finding the Fourth Proportional to 383,509.28, 575,281.20 and 146,790.56

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Solution

The fourth proportional to 383,509.28, 575,281.20 and 146,790.56 is: 220,192.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,509.28 : 575,281.20 = 146,790.56 : x
  2. Step 2: Convert to fraction form
    383,509.28/575,281.20 = 146,790.56/x
  3. Step 3: Cross multiply
    383,509.28x = 575,281.20 × 146,790.56
  4. Step 4: Simplify right side
    383,509.28x = 84,445,849,505.47
  5. Step 5: Solve for x
    x = 84,445,849,505.47/383,509.28
  6. Step 6: Final answer
    x = 220,192.45

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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.