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Finding the Fourth Proportional to 360,705.54, 497,782.89 and 217,474.77

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Solution

The fourth proportional to 360,705.54, 497,782.89 and 217,474.77 is: 300,120.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,705.54 : 497,782.89 = 217,474.77 : x
  2. Step 2: Convert to fraction form
    360,705.54/497,782.89 = 217,474.77/x
  3. Step 3: Cross multiply
    360,705.54x = 497,782.89 × 217,474.77
  4. Step 4: Simplify right side
    360,705.54x = 108,255,219,512.69
  5. Step 5: Solve for x
    x = 108,255,219,512.69/360,705.54
  6. Step 6: Final answer
    x = 300,120.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.