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Finding the Fourth Proportional to 289,466.50, 399,463.79 and 162,142.09

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Solution

The fourth proportional to 289,466.50, 399,463.79 and 162,142.09 is: 223,756.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,466.50 : 399,463.79 = 162,142.09 : x
  2. Step 2: Convert to fraction form
    289,466.50/399,463.79 = 162,142.09/x
  3. Step 3: Cross multiply
    289,466.50x = 399,463.79 × 162,142.09
  4. Step 4: Simplify right side
    289,466.50x = 64,769,894,349.83
  5. Step 5: Solve for x
    x = 64,769,894,349.83/289,466.50
  6. Step 6: Final answer
    x = 223,756.10

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1.5x scale

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.