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Finding the Fourth Proportional to 497,697.40, 686,792.82 and 282,807.64

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Solution

The fourth proportional to 497,697.40, 686,792.82 and 282,807.64 is: 390,257.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,697.40 : 686,792.82 = 282,807.64 : x
  2. Step 2: Convert to fraction form
    497,697.40/686,792.82 = 282,807.64/x
  3. Step 3: Cross multiply
    497,697.40x = 686,792.82 × 282,807.64
  4. Step 4: Simplify right side
    497,697.40x = 194,230,256,593.15
  5. Step 5: Solve for x
    x = 194,230,256,593.15/497,697.40
  6. Step 6: Final answer
    x = 390,257.73

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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.