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Finding the Fourth Proportional to 497,468.40, 686,503.80 and 271,111.92

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Solution

The fourth proportional to 497,468.40, 686,503.80 and 271,111.92 is: 374,133.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,468.40 : 686,503.80 = 271,111.92 : x
  2. Step 2: Convert to fraction form
    497,468.40/686,503.80 = 271,111.92/x
  3. Step 3: Cross multiply
    497,468.40x = 686,503.80 × 271,111.92
  4. Step 4: Simplify right side
    497,468.40x = 186,119,363,305.30
  5. Step 5: Solve for x
    x = 186,119,363,305.30/497,468.40
  6. Step 6: Final answer
    x = 374,133.04

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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.