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Finding the Fourth Proportional to 315,741.66, 435,727.35 and 172,503.42

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Solution

The fourth proportional to 315,741.66, 435,727.35 and 172,503.42 is: 238,056.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,741.66 : 435,727.35 = 172,503.42 : x
  2. Step 2: Convert to fraction form
    315,741.66/435,727.35 = 172,503.42/x
  3. Step 3: Cross multiply
    315,741.66x = 435,727.35 × 172,503.42
  4. Step 4: Simplify right side
    315,741.66x = 75,164,458,062.54
  5. Step 5: Solve for x
    x = 75,164,458,062.54/315,741.66
  6. Step 6: Final answer
    x = 238,056.83

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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.