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Finding the Fourth Proportional to 402,437.28, 603,674.25 and 284,634.53

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Solution

The fourth proportional to 402,437.28, 603,674.25 and 284,634.53 is: 426,964.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,437.28 : 603,674.25 = 284,634.53 : x
  2. Step 2: Convert to fraction form
    402,437.28/603,674.25 = 284,634.53/x
  3. Step 3: Cross multiply
    402,437.28x = 603,674.25 × 284,634.53
  4. Step 4: Simplify right side
    402,437.28x = 171,826,533,403.48
  5. Step 5: Solve for x
    x = 171,826,533,403.48/402,437.28
  6. Step 6: Final answer
    x = 426,964.75

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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.