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Finding the Fourth Proportional to 289,642.56, 433,898.20 and 137,623.29

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Solution

The fourth proportional to 289,642.56, 433,898.20 and 137,623.29 is: 206,166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,642.56 : 433,898.20 = 137,623.29 : x
  2. Step 2: Convert to fraction form
    289,642.56/433,898.20 = 137,623.29/x
  3. Step 3: Cross multiply
    289,642.56x = 433,898.20 × 137,623.29
  4. Step 4: Simplify right side
    289,642.56x = 59,714,497,809.08
  5. Step 5: Solve for x
    x = 59,714,497,809.08/289,642.56
  6. Step 6: Final answer
    x = 206,166.17

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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.