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Finding the Fourth Proportional to 418,234.20, 626,509.30 and 193,284.84

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Solution

The fourth proportional to 418,234.20, 626,509.30 and 193,284.84 is: 289,538.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,234.20 : 626,509.30 = 193,284.84 : x
  2. Step 2: Convert to fraction form
    418,234.20/626,509.30 = 193,284.84/x
  3. Step 3: Cross multiply
    418,234.20x = 626,509.30 × 193,284.84
  4. Step 4: Simplify right side
    418,234.20x = 121,094,749,809.01
  5. Step 5: Solve for x
    x = 121,094,749,809.01/418,234.20
  6. Step 6: Final answer
    x = 289,538.13

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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.