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Finding the Fourth Proportional to 497,437.59, 686,269.01 and 306,118.83

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Solution

The fourth proportional to 497,437.59, 686,269.01 and 306,118.83 is: 422,324.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,437.59 : 686,269.01 = 306,118.83 : x
  2. Step 2: Convert to fraction form
    497,437.59/686,269.01 = 306,118.83/x
  3. Step 3: Cross multiply
    497,437.59x = 686,269.01 × 306,118.83
  4. Step 4: Simplify right side
    497,437.59x = 210,079,864,875.86
  5. Step 5: Solve for x
    x = 210,079,864,875.86/497,437.59
  6. Step 6: Final answer
    x = 422,324.06

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1.5x scale

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.