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Finding the Fourth Proportional to 402,278.10, 603,518.76 and 189,006.48

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Solution

The fourth proportional to 402,278.10, 603,518.76 and 189,006.48 is: 283,557.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,278.10 : 603,518.76 = 189,006.48 : x
  2. Step 2: Convert to fraction form
    402,278.10/603,518.76 = 189,006.48/x
  3. Step 3: Cross multiply
    402,278.10x = 603,518.76 × 189,006.48
  4. Step 4: Simplify right side
    402,278.10x = 114,068,956,441.57
  5. Step 5: Solve for x
    x = 114,068,956,441.57/402,278.10
  6. Step 6: Final answer
    x = 283,557.46

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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.