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Finding the Fourth Proportional to 402,382.15, 603,856.82 and 189,159.77

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Solution

The fourth proportional to 402,382.15, 603,856.82 and 189,159.77 is: 283,872.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,382.15 : 603,856.82 = 189,159.77 : x
  2. Step 2: Convert to fraction form
    402,382.15/603,856.82 = 189,159.77/x
  3. Step 3: Cross multiply
    402,382.15x = 603,856.82 × 189,159.77
  4. Step 4: Simplify right side
    402,382.15x = 114,225,419,166.67
  5. Step 5: Solve for x
    x = 114,225,419,166.67/402,382.15
  6. Step 6: Final answer
    x = 283,872.98

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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.