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Finding the Fourth Proportional to 459,755.88, 688,737.16 and 259,470.42

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Solution

The fourth proportional to 459,755.88, 688,737.16 and 259,470.42 is: 388,699.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,755.88 : 688,737.16 = 259,470.42 : x
  2. Step 2: Convert to fraction form
    459,755.88/688,737.16 = 259,470.42/x
  3. Step 3: Cross multiply
    459,755.88x = 688,737.16 × 259,470.42
  4. Step 4: Simplify right side
    459,755.88x = 178,706,920,174.81
  5. Step 5: Solve for x
    x = 178,706,920,174.81/459,755.88
  6. Step 6: Final answer
    x = 388,699.59

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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.