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Finding the Fourth Proportional to 356,460.25, 534,757.80 and 143,244.76

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Solution

The fourth proportional to 356,460.25, 534,757.80 and 143,244.76 is: 214,894.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,460.25 : 534,757.80 = 143,244.76 : x
  2. Step 2: Convert to fraction form
    356,460.25/534,757.80 = 143,244.76/x
  3. Step 3: Cross multiply
    356,460.25x = 534,757.80 × 143,244.76
  4. Step 4: Simplify right side
    356,460.25x = 76,601,250,045.34
  5. Step 5: Solve for x
    x = 76,601,250,045.34/356,460.25
  6. Step 6: Final answer
    x = 214,894.23

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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.