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Finding the Fourth Proportional to 428,329.40, 641,927.10 and 228,218.90

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Solution

The fourth proportional to 428,329.40, 641,927.10 and 228,218.90 is: 342,026.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,329.40 : 641,927.10 = 228,218.90 : x
  2. Step 2: Convert to fraction form
    428,329.40/641,927.10 = 228,218.90/x
  3. Step 3: Cross multiply
    428,329.40x = 641,927.10 × 228,218.90
  4. Step 4: Simplify right side
    428,329.40x = 146,499,896,642.19
  5. Step 5: Solve for x
    x = 146,499,896,642.19/428,329.40
  6. Step 6: Final answer
    x = 342,026.25

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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.