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Finding the Fourth Proportional to 472,295.80, 708,443.70 and 192,014.20

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Solution

The fourth proportional to 472,295.80, 708,443.70 and 192,014.20 is: 288,021.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,295.80 : 708,443.70 = 192,014.20 : x
  2. Step 2: Convert to fraction form
    472,295.80/708,443.70 = 192,014.20/x
  3. Step 3: Cross multiply
    472,295.80x = 708,443.70 × 192,014.20
  4. Step 4: Simplify right side
    472,295.80x = 136,031,250,300.54
  5. Step 5: Solve for x
    x = 136,031,250,300.54/472,295.80
  6. Step 6: Final answer
    x = 288,021.30

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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.