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Finding the Fourth Proportional to 565,788.54, 780,766.47 and 311,124.54

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Solution

The fourth proportional to 565,788.54, 780,766.47 and 311,124.54 is: 429,339.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,788.54 : 780,766.47 = 311,124.54 : x
  2. Step 2: Convert to fraction form
    565,788.54/780,766.47 = 311,124.54/x
  3. Step 3: Cross multiply
    565,788.54x = 780,766.47 × 311,124.54
  4. Step 4: Simplify right side
    565,788.54x = 242,915,608,826.17
  5. Step 5: Solve for x
    x = 242,915,608,826.17/565,788.54
  6. Step 6: Final answer
    x = 429,339.92

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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.