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Finding the Fourth Proportional to 564,336.12, 778,793.40 and 309,711

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Solution

The fourth proportional to 564,336.12, 778,793.40 and 309,711 is: 427,406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,336.12 : 778,793.40 = 309,711 : x
  2. Step 2: Convert to fraction form
    564,336.12/778,793.40 = 309,711/x
  3. Step 3: Cross multiply
    564,336.12x = 778,793.40 × 309,711
  4. Step 4: Simplify right side
    564,336.12x = 241,200,882,707.40
  5. Step 5: Solve for x
    x = 241,200,882,707.40/564,336.12
  6. Step 6: Final answer
    x = 427,406.42

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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.