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Finding the Fourth Proportional to 565,565.52, 780,480.42 and 310,916.73

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Solution

The fourth proportional to 565,565.52, 780,480.42 and 310,916.73 is: 429,065.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,565.52 : 780,480.42 = 310,916.73 : x
  2. Step 2: Convert to fraction form
    565,565.52/780,480.42 = 310,916.73/x
  3. Step 3: Cross multiply
    565,565.52x = 780,480.42 × 310,916.73
  4. Step 4: Simplify right side
    565,565.52x = 242,664,420,015.43
  5. Step 5: Solve for x
    x = 242,664,420,015.43/565,565.52
  6. Step 6: Final answer
    x = 429,065.09

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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.