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Finding the Fourth Proportional to 289,642.95, 433,898.82 and 137,623.68

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Solution

The fourth proportional to 289,642.95, 433,898.82 and 137,623.68 is: 206,166.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,642.95 : 433,898.82 = 137,623.68 : x
  2. Step 2: Convert to fraction form
    289,642.95/433,898.82 = 137,623.68/x
  3. Step 3: Cross multiply
    289,642.95x = 433,898.82 × 137,623.68
  4. Step 4: Simplify right side
    289,642.95x = 59,714,752,356.06
  5. Step 5: Solve for x
    x = 59,714,752,356.06/289,642.95
  6. Step 6: Final answer
    x = 206,166.77

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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.