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Finding the Fourth Proportional to 497,671.59, 686,591.84 and 306,352.83

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Solution

The fourth proportional to 497,671.59, 686,591.84 and 306,352.83 is: 422,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,671.59 : 686,591.84 = 306,352.83 : x
  2. Step 2: Convert to fraction form
    497,671.59/686,591.84 = 306,352.83/x
  3. Step 3: Cross multiply
    497,671.59x = 686,591.84 × 306,352.83
  4. Step 4: Simplify right side
    497,671.59x = 210,339,356,579.51
  5. Step 5: Solve for x
    x = 210,339,356,579.51/497,671.59
  6. Step 6: Final answer
    x = 422,646.90

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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.