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Finding the Fourth Proportional to 428,102.55, 642,184.61 and 147,615.75

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Solution

The fourth proportional to 428,102.55, 642,184.61 and 147,615.75 is: 221,434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,102.55 : 642,184.61 = 147,615.75 : x
  2. Step 2: Convert to fraction form
    428,102.55/642,184.61 = 147,615.75/x
  3. Step 3: Cross multiply
    428,102.55x = 642,184.61 × 147,615.75
  4. Step 4: Simplify right side
    428,102.55x = 94,796,562,105.53
  5. Step 5: Solve for x
    x = 94,796,562,105.53/428,102.55
  6. Step 6: Final answer
    x = 221,434.24

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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.