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Finding the Fourth Proportional to 371,709.52, 512,969.16 and 201,955.12

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Solution

The fourth proportional to 371,709.52, 512,969.16 and 201,955.12 is: 278,703.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,709.52 : 512,969.16 = 201,955.12 : x
  2. Step 2: Convert to fraction form
    371,709.52/512,969.16 = 201,955.12/x
  3. Step 3: Cross multiply
    371,709.52x = 512,969.16 × 201,955.12
  4. Step 4: Simplify right side
    371,709.52x = 103,596,748,264.10
  5. Step 5: Solve for x
    x = 103,596,748,264.10/371,709.52
  6. Step 6: Final answer
    x = 278,703.51

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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.