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Finding the Fourth Proportional to 472,857.60, 709,286.40 and 192,230.40

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Solution

The fourth proportional to 472,857.60, 709,286.40 and 192,230.40 is: 288,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,857.60 : 709,286.40 = 192,230.40 : x
  2. Step 2: Convert to fraction form
    472,857.60/709,286.40 = 192,230.40/x
  3. Step 3: Cross multiply
    472,857.60x = 709,286.40 × 192,230.40
  4. Step 4: Simplify right side
    472,857.60x = 136,346,408,386.56
  5. Step 5: Solve for x
    x = 136,346,408,386.56/472,857.60
  6. Step 6: Final answer
    x = 288,345.60

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1.5x scale

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.