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Finding the Fourth Proportional to 414,534.53, 621,801.61 and 115,015.06

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Solution

The fourth proportional to 414,534.53, 621,801.61 and 115,015.06 is: 172,522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,534.53 : 621,801.61 = 115,015.06 : x
  2. Step 2: Convert to fraction form
    414,534.53/621,801.61 = 115,015.06/x
  3. Step 3: Cross multiply
    414,534.53x = 621,801.61 × 115,015.06
  4. Step 4: Simplify right side
    414,534.53x = 71,516,549,482.25
  5. Step 5: Solve for x
    x = 71,516,549,482.25/414,534.53
  6. Step 6: Final answer
    x = 172,522.54

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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.