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Finding the Fourth Proportional to 567,280.55, 782,709.67 and 322,210.78

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Solution

The fourth proportional to 567,280.55, 782,709.67 and 322,210.78 is: 444,572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,280.55 : 782,709.67 = 322,210.78 : x
  2. Step 2: Convert to fraction form
    567,280.55/782,709.67 = 322,210.78/x
  3. Step 3: Cross multiply
    567,280.55x = 782,709.67 × 322,210.78
  4. Step 4: Simplify right side
    567,280.55x = 252,197,493,284.24
  5. Step 5: Solve for x
    x = 252,197,493,284.24/567,280.55
  6. Step 6: Final answer
    x = 444,572.78

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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.