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Finding the Fourth Proportional to 472,284.80, 708,427.20 and 192,003.20

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Solution

The fourth proportional to 472,284.80, 708,427.20 and 192,003.20 is: 288,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,284.80 : 708,427.20 = 192,003.20 : x
  2. Step 2: Convert to fraction form
    472,284.80/708,427.20 = 192,003.20/x
  3. Step 3: Cross multiply
    472,284.80x = 708,427.20 × 192,003.20
  4. Step 4: Simplify right side
    472,284.80x = 136,020,289,367.04
  5. Step 5: Solve for x
    x = 136,020,289,367.04/472,284.80
  6. Step 6: Final answer
    x = 288,004.80

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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.