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Finding the Fourth Proportional to 497,838.72, 686,999.16 and 271,479.36

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Solution

The fourth proportional to 497,838.72, 686,999.16 and 271,479.36 is: 374,631.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,838.72 : 686,999.16 = 271,479.36 : x
  2. Step 2: Convert to fraction form
    497,838.72/686,999.16 = 271,479.36/x
  3. Step 3: Cross multiply
    497,838.72x = 686,999.16 × 271,479.36
  4. Step 4: Simplify right side
    497,838.72x = 186,506,092,277.34
  5. Step 5: Solve for x
    x = 186,506,092,277.34/497,838.72
  6. Step 6: Final answer
    x = 374,631.55

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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.