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Finding the Fourth Proportional to 289,756.48, 399,864.93 and 162,423.88

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Solution

The fourth proportional to 289,756.48, 399,864.93 and 162,423.88 is: 224,145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,756.48 : 399,864.93 = 162,423.88 : x
  2. Step 2: Convert to fraction form
    289,756.48/399,864.93 = 162,423.88/x
  3. Step 3: Cross multiply
    289,756.48x = 399,864.93 × 162,423.88
  4. Step 4: Simplify right side
    289,756.48x = 64,947,613,406.53
  5. Step 5: Solve for x
    x = 64,947,613,406.53/289,756.48
  6. Step 6: Final answer
    x = 224,145.51

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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.