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Finding the Fourth Proportional to 402,486.10, 603,722.98 and 102,964.14

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Solution

The fourth proportional to 402,486.10, 603,722.98 and 102,964.14 is: 154,444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,486.10 : 603,722.98 = 102,964.14 : x
  2. Step 2: Convert to fraction form
    402,486.10/603,722.98 = 102,964.14/x
  3. Step 3: Cross multiply
    402,486.10x = 603,722.98 × 102,964.14
  4. Step 4: Simplify right side
    402,486.10x = 62,161,817,562.64
  5. Step 5: Solve for x
    x = 62,161,817,562.64/402,486.10
  6. Step 6: Final answer
    x = 154,444.63

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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.