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Finding the Fourth Proportional to 402,437.35, 603,674.34 and 284,634.60

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Solution

The fourth proportional to 402,437.35, 603,674.34 and 284,634.60 is: 426,964.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,437.35 : 603,674.34 = 284,634.60 : x
  2. Step 2: Convert to fraction form
    402,437.35/603,674.34 = 284,634.60/x
  3. Step 3: Cross multiply
    402,437.35x = 603,674.34 × 284,634.60
  4. Step 4: Simplify right side
    402,437.35x = 171,826,604,296.16
  5. Step 5: Solve for x
    x = 171,826,604,296.16/402,437.35
  6. Step 6: Final answer
    x = 426,964.85

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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.