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Finding the Fourth Proportional to 472,753.40, 709,261.31 and 262,538.96

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Solution

The fourth proportional to 472,753.40, 709,261.31 and 262,538.96 is: 393,881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,753.40 : 709,261.31 = 262,538.96 : x
  2. Step 2: Convert to fraction form
    472,753.40/709,261.31 = 262,538.96/x
  3. Step 3: Cross multiply
    472,753.40x = 709,261.31 × 262,538.96
  4. Step 4: Simplify right side
    472,753.40x = 186,208,723,805.68
  5. Step 5: Solve for x
    x = 186,208,723,805.68/472,753.40
  6. Step 6: Final answer
    x = 393,881.30

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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.