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Finding the Fourth Proportional to 603,781.86, 833,228.70 and 345,657.78

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Solution

The fourth proportional to 603,781.86, 833,228.70 and 345,657.78 is: 477,013.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,781.86 : 833,228.70 = 345,657.78 : x
  2. Step 2: Convert to fraction form
    603,781.86/833,228.70 = 345,657.78/x
  3. Step 3: Cross multiply
    603,781.86x = 833,228.70 × 345,657.78
  4. Step 4: Simplify right side
    603,781.86x = 288,011,982,674.29
  5. Step 5: Solve for x
    x = 288,011,982,674.29/603,781.86
  6. Step 6: Final answer
    x = 477,013.31

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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.