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Finding the Fourth Proportional to 472,905.60, 709,444.80 and 192,451.20

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Solution

The fourth proportional to 472,905.60, 709,444.80 and 192,451.20 is: 288,711.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,905.60 : 709,444.80 = 192,451.20 : x
  2. Step 2: Convert to fraction form
    472,905.60/709,444.80 = 192,451.20/x
  3. Step 3: Cross multiply
    472,905.60x = 709,444.80 × 192,451.20
  4. Step 4: Simplify right side
    472,905.60x = 136,533,503,093.76
  5. Step 5: Solve for x
    x = 136,533,503,093.76/472,905.60
  6. Step 6: Final answer
    x = 288,711.96

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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.