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Finding the Fourth Proportional to 497,403.54, 686,417.76 and 271,049.04

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Solution

The fourth proportional to 497,403.54, 686,417.76 and 271,049.04 is: 374,048.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,403.54 : 686,417.76 = 271,049.04 : x
  2. Step 2: Convert to fraction form
    497,403.54/686,417.76 = 271,049.04/x
  3. Step 3: Cross multiply
    497,403.54x = 686,417.76 × 271,049.04
  4. Step 4: Simplify right side
    497,403.54x = 186,052,874,886.95
  5. Step 5: Solve for x
    x = 186,052,874,886.95/497,403.54
  6. Step 6: Final answer
    x = 374,048.15

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1.5x scale

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.