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Finding the Fourth Proportional to 402,789.89, 604,184.81 and 191,788.13

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Solution

The fourth proportional to 402,789.89, 604,184.81 and 191,788.13 is: 287,682.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,789.89 : 604,184.81 = 191,788.13 : x
  2. Step 2: Convert to fraction form
    402,789.89/604,184.81 = 191,788.13/x
  3. Step 3: Cross multiply
    402,789.89x = 604,184.81 × 191,788.13
  4. Step 4: Simplify right side
    402,789.89x = 115,875,475,435.83
  5. Step 5: Solve for x
    x = 115,875,475,435.83/402,789.89
  6. Step 6: Final answer
    x = 287,682.18

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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.