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Finding the Fourth Proportional to 613,993.90, 847,337.73 and 342,061.64

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Solution

The fourth proportional to 613,993.90, 847,337.73 and 342,061.64 is: 472,059.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,993.90 : 847,337.73 = 342,061.64 : x
  2. Step 2: Convert to fraction form
    613,993.90/847,337.73 = 342,061.64/x
  3. Step 3: Cross multiply
    613,993.90x = 847,337.73 × 342,061.64
  4. Step 4: Simplify right side
    613,993.90x = 289,841,733,557.68
  5. Step 5: Solve for x
    x = 289,841,733,557.68/613,993.90
  6. Step 6: Final answer
    x = 472,059.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.