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Finding the Fourth Proportional to 315,933.66, 474,032.34 and 138,567.96

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Solution

The fourth proportional to 315,933.66, 474,032.34 and 138,567.96 is: 207,909.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,933.66 : 474,032.34 = 138,567.96 : x
  2. Step 2: Convert to fraction form
    315,933.66/474,032.34 = 138,567.96/x
  3. Step 3: Cross multiply
    315,933.66x = 474,032.34 × 138,567.96
  4. Step 4: Simplify right side
    315,933.66x = 65,685,694,327.83
  5. Step 5: Solve for x
    x = 65,685,694,327.83/315,933.66
  6. Step 6: Final answer
    x = 207,909.77

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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.