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Finding the Fourth Proportional to 371,214, 512,275.68 and 201,448.16

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Solution

The fourth proportional to 371,214, 512,275.68 and 201,448.16 is: 277,998.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,214 : 512,275.68 = 201,448.16 : x
  2. Step 2: Convert to fraction form
    371,214/512,275.68 = 201,448.16/x
  3. Step 3: Cross multiply
    371,214x = 512,275.68 × 201,448.16
  4. Step 4: Simplify right side
    371,214x = 103,196,993,148.75
  5. Step 5: Solve for x
    x = 103,196,993,148.75/371,214
  6. Step 6: Final answer
    x = 277,998.66

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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.