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Finding the Fourth Proportional to 291,054.80, 435,707.40 and 172,665.20

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Solution

The fourth proportional to 291,054.80, 435,707.40 and 172,665.20 is: 258,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,054.80 : 435,707.40 = 172,665.20 : x
  2. Step 2: Convert to fraction form
    291,054.80/435,707.40 = 172,665.20/x
  3. Step 3: Cross multiply
    291,054.80x = 435,707.40 × 172,665.20
  4. Step 4: Simplify right side
    291,054.80x = 75,231,505,362.48
  5. Step 5: Solve for x
    x = 75,231,505,362.48/291,054.80
  6. Step 6: Final answer
    x = 258,478.83

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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.