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Finding the Fourth Proportional to 472,135.85, 708,344.61 and 443,938.13

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Solution

The fourth proportional to 472,135.85, 708,344.61 and 443,938.13 is: 666,039.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,135.85 : 708,344.61 = 443,938.13 : x
  2. Step 2: Convert to fraction form
    472,135.85/708,344.61 = 443,938.13/x
  3. Step 3: Cross multiply
    472,135.85x = 708,344.61 × 443,938.13
  4. Step 4: Simplify right side
    472,135.85x = 314,461,181,558.98
  5. Step 5: Solve for x
    x = 314,461,181,558.98/472,135.85
  6. Step 6: Final answer
    x = 666,039.62

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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.