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Finding the Fourth Proportional to 314,221.86, 471,406.59 and 103,859.79

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Solution

The fourth proportional to 314,221.86, 471,406.59 and 103,859.79 is: 155,814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,221.86 : 471,406.59 = 103,859.79 : x
  2. Step 2: Convert to fraction form
    314,221.86/471,406.59 = 103,859.79/x
  3. Step 3: Cross multiply
    314,221.86x = 471,406.59 × 103,859.79
  4. Step 4: Simplify right side
    314,221.86x = 48,960,189,442.02
  5. Step 5: Solve for x
    x = 48,960,189,442.02/314,221.86
  6. Step 6: Final answer
    x = 155,814.08

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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.