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Finding the Fourth Proportional to 567,142.28, 782,711.50 and 423,653.21

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Solution

The fourth proportional to 567,142.28, 782,711.50 and 423,653.21 is: 584,682.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,142.28 : 782,711.50 = 423,653.21 : x
  2. Step 2: Convert to fraction form
    567,142.28/782,711.50 = 423,653.21/x
  3. Step 3: Cross multiply
    567,142.28x = 782,711.50 × 423,653.21
  4. Step 4: Simplify right side
    567,142.28x = 331,598,234,506.23
  5. Step 5: Solve for x
    x = 331,598,234,506.23/567,142.28
  6. Step 6: Final answer
    x = 584,682.63

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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.