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Finding the Fourth Proportional to 412,383.83, 618,381.61 and 159,782.63

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Solution

The fourth proportional to 412,383.83, 618,381.61 and 159,782.63 is: 239,598.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,383.83 : 618,381.61 = 159,782.63 : x
  2. Step 2: Convert to fraction form
    412,383.83/618,381.61 = 159,782.63/x
  3. Step 3: Cross multiply
    412,383.83x = 618,381.61 × 159,782.63
  4. Step 4: Simplify right side
    412,383.83x = 98,806,636,498.07
  5. Step 5: Solve for x
    x = 98,806,636,498.07/412,383.83
  6. Step 6: Final answer
    x = 239,598.72

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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.