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Finding the Fourth Proportional to 315,816.22, 435,808.02 and 172,577.44

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Solution

The fourth proportional to 315,816.22, 435,808.02 and 172,577.44 is: 238,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,816.22 : 435,808.02 = 172,577.44 : x
  2. Step 2: Convert to fraction form
    315,816.22/435,808.02 = 172,577.44/x
  3. Step 3: Cross multiply
    315,816.22x = 435,808.02 × 172,577.44
  4. Step 4: Simplify right side
    315,816.22x = 75,210,632,423.07
  5. Step 5: Solve for x
    x = 75,210,632,423.07/315,816.22
  6. Step 6: Final answer
    x = 238,146.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.