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Finding the Fourth Proportional to 497,728, 686,875.52 and 271,374.40

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Solution

The fourth proportional to 497,728, 686,875.52 and 271,374.40 is: 374,502.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,728 : 686,875.52 = 271,374.40 : x
  2. Step 2: Convert to fraction form
    497,728/686,875.52 = 271,374.40/x
  3. Step 3: Cross multiply
    497,728x = 686,875.52 × 271,374.40
  4. Step 4: Simplify right side
    497,728x = 186,400,432,114.69
  5. Step 5: Solve for x
    x = 186,400,432,114.69/497,728
  6. Step 6: Final answer
    x = 374,502.60

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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.