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Finding the Fourth Proportional to 497,607.28, 686,673.24 and 282,718.96

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Solution

The fourth proportional to 497,607.28, 686,673.24 and 282,718.96 is: 390,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,607.28 : 686,673.24 = 282,718.96 : x
  2. Step 2: Convert to fraction form
    497,607.28/686,673.24 = 282,718.96/x
  3. Step 3: Cross multiply
    497,607.28x = 686,673.24 × 282,718.96
  4. Step 4: Simplify right side
    497,607.28x = 194,135,544,272.63
  5. Step 5: Solve for x
    x = 194,135,544,272.63/497,607.28
  6. Step 6: Final answer
    x = 390,138.07

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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.