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Finding the Fourth Proportional to 459,045.60, 688,568.40 and 206,228.40

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Solution

The fourth proportional to 459,045.60, 688,568.40 and 206,228.40 is: 309,342.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,045.60 : 688,568.40 = 206,228.40 : x
  2. Step 2: Convert to fraction form
    459,045.60/688,568.40 = 206,228.40/x
  3. Step 3: Cross multiply
    459,045.60x = 688,568.40 × 206,228.40
  4. Step 4: Simplify right side
    459,045.60x = 142,002,359,422.56
  5. Step 5: Solve for x
    x = 142,002,359,422.56/459,045.60
  6. Step 6: Final answer
    x = 309,342.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.