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Finding the Fourth Proportional to 342,505.86, 472,848.10 and 206,574.08

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Solution

The fourth proportional to 342,505.86, 472,848.10 and 206,574.08 is: 285,186.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,505.86 : 472,848.10 = 206,574.08 : x
  2. Step 2: Convert to fraction form
    342,505.86/472,848.10 = 206,574.08/x
  3. Step 3: Cross multiply
    342,505.86x = 472,848.10 × 206,574.08
  4. Step 4: Simplify right side
    342,505.86x = 97,678,161,237.25
  5. Step 5: Solve for x
    x = 97,678,161,237.25/342,505.86
  6. Step 6: Final answer
    x = 285,186.83

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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.