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Finding the Fourth Proportional to 472,754.40, 709,262.81 and 262,539.96

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Solution

The fourth proportional to 472,754.40, 709,262.81 and 262,539.96 is: 393,882.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,754.40 : 709,262.81 = 262,539.96 : x
  2. Step 2: Convert to fraction form
    472,754.40/709,262.81 = 262,539.96/x
  3. Step 3: Cross multiply
    472,754.40x = 709,262.81 × 262,539.96
  4. Step 4: Simplify right side
    472,754.40x = 186,209,829,766.89
  5. Step 5: Solve for x
    x = 186,209,829,766.89/472,754.40
  6. Step 6: Final answer
    x = 393,882.81

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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.