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Finding the Fourth Proportional to 472,893.60, 709,426.80 and 192,439.20

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Solution

The fourth proportional to 472,893.60, 709,426.80 and 192,439.20 is: 288,693.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,893.60 : 709,426.80 = 192,439.20 : x
  2. Step 2: Convert to fraction form
    472,893.60/709,426.80 = 192,439.20/x
  3. Step 3: Cross multiply
    472,893.60x = 709,426.80 × 192,439.20
  4. Step 4: Simplify right side
    472,893.60x = 136,521,525,850.56
  5. Step 5: Solve for x
    x = 136,521,525,850.56/472,893.60
  6. Step 6: Final answer
    x = 288,693.96

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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.