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Finding the Fourth Proportional to 315,884.42, 435,913.71 and 178,062.38

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Solution

The fourth proportional to 315,884.42, 435,913.71 and 178,062.38 is: 245,722.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,884.42 : 435,913.71 = 178,062.38 : x
  2. Step 2: Convert to fraction form
    315,884.42/435,913.71 = 178,062.38/x
  3. Step 3: Cross multiply
    315,884.42x = 435,913.71 × 178,062.38
  4. Step 4: Simplify right side
    315,884.42x = 77,619,832,677.23
  5. Step 5: Solve for x
    x = 77,619,832,677.23/315,884.42
  6. Step 6: Final answer
    x = 245,722.26

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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.