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Finding the Fourth Proportional to 565,924.42, 780,579.96 and 384,320.80

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Solution

The fourth proportional to 565,924.42, 780,579.96 and 384,320.80 is: 530,093.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,924.42 : 780,579.96 = 384,320.80 : x
  2. Step 2: Convert to fraction form
    565,924.42/780,579.96 = 384,320.80/x
  3. Step 3: Cross multiply
    565,924.42x = 780,579.96 × 384,320.80
  4. Step 4: Simplify right side
    565,924.42x = 299,993,114,691.17
  5. Step 5: Solve for x
    x = 299,993,114,691.17/565,924.42
  6. Step 6: Final answer
    x = 530,093.96

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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.