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Finding the Fourth Proportional to 378,021.60, 567,877.20 and 315,813.60

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Solution

The fourth proportional to 378,021.60, 567,877.20 and 315,813.60 is: 474,426.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,021.60 : 567,877.20 = 315,813.60 : x
  2. Step 2: Convert to fraction form
    378,021.60/567,877.20 = 315,813.60/x
  3. Step 3: Cross multiply
    378,021.60x = 567,877.20 × 315,813.60
  4. Step 4: Simplify right side
    378,021.60x = 179,343,342,889.92
  5. Step 5: Solve for x
    x = 179,343,342,889.92/378,021.60
  6. Step 6: Final answer
    x = 474,426.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.