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Finding the Fourth Proportional to 428,678.42, 643,017.65 and 144,345.17

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Solution

The fourth proportional to 428,678.42, 643,017.65 and 144,345.17 is: 216,517.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,678.42 : 643,017.65 = 144,345.17 : x
  2. Step 2: Convert to fraction form
    428,678.42/643,017.65 = 144,345.17/x
  3. Step 3: Cross multiply
    428,678.42x = 643,017.65 × 144,345.17
  4. Step 4: Simplify right side
    428,678.42x = 92,816,491,485.55
  5. Step 5: Solve for x
    x = 92,816,491,485.55/428,678.42
  6. Step 6: Final answer
    x = 216,517.76

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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.