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Finding the Fourth Proportional to 443,641.32, 665,905.86 and 207,150.48

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Solution

The fourth proportional to 443,641.32, 665,905.86 and 207,150.48 is: 310,932.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,641.32 : 665,905.86 = 207,150.48 : x
  2. Step 2: Convert to fraction form
    443,641.32/665,905.86 = 207,150.48/x
  3. Step 3: Cross multiply
    443,641.32x = 665,905.86 × 207,150.48
  4. Step 4: Simplify right side
    443,641.32x = 137,942,718,533.81
  5. Step 5: Solve for x
    x = 137,942,718,533.81/443,641.32
  6. Step 6: Final answer
    x = 310,932.98

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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.