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Finding the Fourth Proportional to 314,220.30, 471,324.07 and 77,565.03

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Solution

The fourth proportional to 314,220.30, 471,324.07 and 77,565.03 is: 116,345.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,220.30 : 471,324.07 = 77,565.03 : x
  2. Step 2: Convert to fraction form
    314,220.30/471,324.07 = 77,565.03/x
  3. Step 3: Cross multiply
    314,220.30x = 471,324.07 × 77,565.03
  4. Step 4: Simplify right side
    314,220.30x = 36,558,265,241.45
  5. Step 5: Solve for x
    x = 36,558,265,241.45/314,220.30
  6. Step 6: Final answer
    x = 116,345.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.