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Finding the Fourth Proportional to 497,470.40, 686,506.56 and 271,113.92

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Solution

The fourth proportional to 497,470.40, 686,506.56 and 271,113.92 is: 374,135.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,470.40 : 686,506.56 = 271,113.92 : x
  2. Step 2: Convert to fraction form
    497,470.40/686,506.56 = 271,113.92/x
  3. Step 3: Cross multiply
    497,470.40x = 686,506.56 × 271,113.92
  4. Step 4: Simplify right side
    497,470.40x = 186,121,484,587.32
  5. Step 5: Solve for x
    x = 186,121,484,587.32/497,470.40
  6. Step 6: Final answer
    x = 374,135.80

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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.