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Finding the Fourth Proportional to 513,287.46, 770,102.91 and 289,087.02

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Solution

The fourth proportional to 513,287.46, 770,102.91 and 289,087.02 is: 433,727.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,287.46 : 770,102.91 = 289,087.02 : x
  2. Step 2: Convert to fraction form
    513,287.46/770,102.91 = 289,087.02/x
  3. Step 3: Cross multiply
    513,287.46x = 770,102.91 × 289,087.02
  4. Step 4: Simplify right side
    513,287.46x = 222,626,755,345.23
  5. Step 5: Solve for x
    x = 222,626,755,345.23/513,287.46
  6. Step 6: Final answer
    x = 433,727.24

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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.