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Finding the Fourth Proportional to 497,608.28, 686,674.62 and 282,719.96

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Solution

The fourth proportional to 497,608.28, 686,674.62 and 282,719.96 is: 390,139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,608.28 : 686,674.62 = 282,719.96 : x
  2. Step 2: Convert to fraction form
    497,608.28/686,674.62 = 282,719.96/x
  3. Step 3: Cross multiply
    497,608.28x = 686,674.62 × 282,719.96
  4. Step 4: Simplify right side
    497,608.28x = 194,136,621,099.42
  5. Step 5: Solve for x
    x = 194,136,621,099.42/497,608.28
  6. Step 6: Final answer
    x = 390,139.45

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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.