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Finding the Fourth Proportional to 371,218, 512,281.20 and 201,452.16

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Solution

The fourth proportional to 371,218, 512,281.20 and 201,452.16 is: 278,004.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,218 : 512,281.20 = 201,452.16 : x
  2. Step 2: Convert to fraction form
    371,218/512,281.20 = 201,452.16/x
  3. Step 3: Cross multiply
    371,218x = 512,281.20 × 201,452.16
  4. Step 4: Simplify right side
    371,218x = 103,200,154,267.39
  5. Step 5: Solve for x
    x = 103,200,154,267.39/371,218
  6. Step 6: Final answer
    x = 278,004.18

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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.