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Finding the Fourth Proportional to 289,722.93, 399,816.20 and 162,398.52

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Solution

The fourth proportional to 289,722.93, 399,816.20 and 162,398.52 is: 224,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,722.93 : 399,816.20 = 162,398.52 : x
  2. Step 2: Convert to fraction form
    289,722.93/399,816.20 = 162,398.52/x
  3. Step 3: Cross multiply
    289,722.93x = 399,816.20 × 162,398.52
  4. Step 4: Simplify right side
    289,722.93x = 64,929,559,558.02
  5. Step 5: Solve for x
    x = 64,929,559,558.02/289,722.93
  6. Step 6: Final answer
    x = 224,109.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.