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Finding the Fourth Proportional to 445,498.40, 614,780.34 and 251,903

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Solution

The fourth proportional to 445,498.40, 614,780.34 and 251,903 is: 347,621.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,498.40 : 614,780.34 = 251,903 : x
  2. Step 2: Convert to fraction form
    445,498.40/614,780.34 = 251,903/x
  3. Step 3: Cross multiply
    445,498.40x = 614,780.34 × 251,903
  4. Step 4: Simplify right side
    445,498.40x = 154,865,011,987.02
  5. Step 5: Solve for x
    x = 154,865,011,987.02/445,498.40
  6. Step 6: Final answer
    x = 347,621.93

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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.