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Finding the Fourth Proportional to 613,978.16, 847,277 and 342,045.68

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Solution

The fourth proportional to 613,978.16, 847,277 and 342,045.68 is: 472,015.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,978.16 : 847,277 = 342,045.68 : x
  2. Step 2: Convert to fraction form
    613,978.16/847,277 = 342,045.68/x
  3. Step 3: Cross multiply
    613,978.16x = 847,277 × 342,045.68
  4. Step 4: Simplify right side
    613,978.16x = 289,807,437,613.36
  5. Step 5: Solve for x
    x = 289,807,437,613.36/613,978.16
  6. Step 6: Final answer
    x = 472,015.87

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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.