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Finding the Fourth Proportional to 613,962.12, 847,254.96 and 342,029.64

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Solution

The fourth proportional to 613,962.12, 847,254.96 and 342,029.64 is: 471,993.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,962.12 : 847,254.96 = 342,029.64 : x
  2. Step 2: Convert to fraction form
    613,962.12/847,254.96 = 342,029.64/x
  3. Step 3: Cross multiply
    613,962.12x = 847,254.96 × 342,029.64
  4. Step 4: Simplify right side
    613,962.12x = 289,786,308,957.01
  5. Step 5: Solve for x
    x = 289,786,308,957.01/613,962.12
  6. Step 6: Final answer
    x = 471,993.79

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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.