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Finding the Fourth Proportional to 314,219.80, 471,323.32 and 77,564.53

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Solution

The fourth proportional to 314,219.80, 471,323.32 and 77,564.53 is: 116,345.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,219.80 : 471,323.32 = 77,564.53 : x
  2. Step 2: Convert to fraction form
    314,219.80/471,323.32 = 77,564.53/x
  3. Step 3: Cross multiply
    314,219.80x = 471,323.32 × 77,564.53
  4. Step 4: Simplify right side
    314,219.80x = 36,557,970,421.62
  5. Step 5: Solve for x
    x = 36,557,970,421.62/314,219.80
  6. Step 6: Final answer
    x = 116,345.22

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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.