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Finding the Fourth Proportional to 459,017.68, 689,689 and 290,617.18

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Solution

The fourth proportional to 459,017.68, 689,689 and 290,617.18 is: 436,661.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,017.68 : 689,689 = 290,617.18 : x
  2. Step 2: Convert to fraction form
    459,017.68/689,689 = 290,617.18/x
  3. Step 3: Cross multiply
    459,017.68x = 689,689 × 290,617.18
  4. Step 4: Simplify right side
    459,017.68x = 200,435,472,257.02
  5. Step 5: Solve for x
    x = 200,435,472,257.02/459,017.68
  6. Step 6: Final answer
    x = 436,661.77

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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.