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Finding the Fourth Proportional to 371,411.76, 512,554.32 and 201,646

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Solution

The fourth proportional to 371,411.76, 512,554.32 and 201,646 is: 278,274.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,411.76 : 512,554.32 = 201,646 : x
  2. Step 2: Convert to fraction form
    371,411.76/512,554.32 = 201,646/x
  3. Step 3: Cross multiply
    371,411.76x = 512,554.32 × 201,646
  4. Step 4: Simplify right side
    371,411.76x = 103,354,528,410.72
  5. Step 5: Solve for x
    x = 103,354,528,410.72/371,411.76
  6. Step 6: Final answer
    x = 278,274.79

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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.