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Finding the Fourth Proportional to 371,244.16, 512,318.64 and 201,478.48

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Solution

The fourth proportional to 371,244.16, 512,318.64 and 201,478.48 is: 278,041.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,244.16 : 512,318.64 = 201,478.48 : x
  2. Step 2: Convert to fraction form
    371,244.16/512,318.64 = 201,478.48/x
  3. Step 3: Cross multiply
    371,244.16x = 512,318.64 × 201,478.48
  4. Step 4: Simplify right side
    371,244.16x = 103,221,180,862.87
  5. Step 5: Solve for x
    x = 103,221,180,862.87/371,244.16
  6. Step 6: Final answer
    x = 278,041.22

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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.