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Finding the Fourth Proportional to 497,716.50, 686,866.05 and 282,865.62

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Solution

The fourth proportional to 497,716.50, 686,866.05 and 282,865.62 is: 390,364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,716.50 : 686,866.05 = 282,865.62 : x
  2. Step 2: Convert to fraction form
    497,716.50/686,866.05 = 282,865.62/x
  3. Step 3: Cross multiply
    497,716.50x = 686,866.05 × 282,865.62
  4. Step 4: Simplify right side
    497,716.50x = 194,290,791,090.20
  5. Step 5: Solve for x
    x = 194,290,791,090.20/497,716.50
  6. Step 6: Final answer
    x = 390,364.38

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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.