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Finding the Fourth Proportional to 320,807.72, 442,420.50 and 275,470.28

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Solution

The fourth proportional to 320,807.72, 442,420.50 and 275,470.28 is: 379,896.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,807.72 : 442,420.50 = 275,470.28 : x
  2. Step 2: Convert to fraction form
    320,807.72/442,420.50 = 275,470.28/x
  3. Step 3: Cross multiply
    320,807.72x = 442,420.50 × 275,470.28
  4. Step 4: Simplify right side
    320,807.72x = 121,873,699,012.74
  5. Step 5: Solve for x
    x = 121,873,699,012.74/320,807.72
  6. Step 6: Final answer
    x = 379,896.40

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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.