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Finding the Fourth Proportional to 497,548, 686,616.72 and 271,194.40

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Solution

The fourth proportional to 497,548, 686,616.72 and 271,194.40 is: 374,248.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,548 : 686,616.72 = 271,194.40 : x
  2. Step 2: Convert to fraction form
    497,548/686,616.72 = 271,194.40/x
  3. Step 3: Cross multiply
    497,548x = 686,616.72 × 271,194.40
  4. Step 4: Simplify right side
    497,548x = 186,206,609,410.37
  5. Step 5: Solve for x
    x = 186,206,609,410.37/497,548
  6. Step 6: Final answer
    x = 374,248.53

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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.