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Finding the Fourth Proportional to 459,052.60, 688,724.70 and 206,235.40

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Solution

The fourth proportional to 459,052.60, 688,724.70 and 206,235.40 is: 309,418.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,052.60 : 688,724.70 = 206,235.40 : x
  2. Step 2: Convert to fraction form
    459,052.60/688,724.70 = 206,235.40/x
  3. Step 3: Cross multiply
    459,052.60x = 688,724.70 × 206,235.40
  4. Step 4: Simplify right side
    459,052.60x = 142,039,413,994.38
  5. Step 5: Solve for x
    x = 142,039,413,994.38/459,052.60
  6. Step 6: Final answer
    x = 309,418.60

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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.