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Finding the Fourth Proportional to 402,284.75, 603,427.12 and 102,765.98

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Solution

The fourth proportional to 402,284.75, 603,427.12 and 102,765.98 is: 154,148.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,284.75 : 603,427.12 = 102,765.98 : x
  2. Step 2: Convert to fraction form
    402,284.75/603,427.12 = 102,765.98/x
  3. Step 3: Cross multiply
    402,284.75x = 603,427.12 × 102,765.98
  4. Step 4: Simplify right side
    402,284.75x = 62,011,780,597.03
  5. Step 5: Solve for x
    x = 62,011,780,597.03/402,284.75
  6. Step 6: Final answer
    x = 154,148.97

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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.