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Finding the Fourth Proportional to 438,085.28, 656,967.44 and 213,378.32

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Solution

The fourth proportional to 438,085.28, 656,967.44 and 213,378.32 is: 319,989.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,085.28 : 656,967.44 = 213,378.32 : x
  2. Step 2: Convert to fraction form
    438,085.28/656,967.44 = 213,378.32/x
  3. Step 3: Cross multiply
    438,085.28x = 656,967.44 × 213,378.32
  4. Step 4: Simplify right side
    438,085.28x = 140,182,608,641.90
  5. Step 5: Solve for x
    x = 140,182,608,641.90/438,085.28
  6. Step 6: Final answer
    x = 319,989.31

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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.