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Finding the Fourth Proportional to 314,397.63, 433,843.81 and 178,431.57

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Solution

The fourth proportional to 314,397.63, 433,843.81 and 178,431.57 is: 246,221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,397.63 : 433,843.81 = 178,431.57 : x
  2. Step 2: Convert to fraction form
    314,397.63/433,843.81 = 178,431.57/x
  3. Step 3: Cross multiply
    314,397.63x = 433,843.81 × 178,431.57
  4. Step 4: Simplify right side
    314,397.63x = 77,411,431,707.00
  5. Step 5: Solve for x
    x = 77,411,431,707.00/314,397.63
  6. Step 6: Final answer
    x = 246,221.42

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1.5x scale

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.