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Finding the Fourth Proportional to 559,708.84, 771,788.37 and 378,105.61

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Solution

The fourth proportional to 559,708.84, 771,788.37 and 378,105.61 is: 521,373.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,708.84 : 771,788.37 = 378,105.61 : x
  2. Step 2: Convert to fraction form
    559,708.84/771,788.37 = 378,105.61/x
  3. Step 3: Cross multiply
    559,708.84x = 771,788.37 × 378,105.61
  4. Step 4: Simplify right side
    559,708.84x = 291,817,512,429.76
  5. Step 5: Solve for x
    x = 291,817,512,429.76/559,708.84
  6. Step 6: Final answer
    x = 521,373.78

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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.