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Finding the Fourth Proportional to 354,953.14, 489,777.50 and 209,738.70

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Solution

The fourth proportional to 354,953.14, 489,777.50 and 209,738.70 is: 289,405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,953.14 : 489,777.50 = 209,738.70 : x
  2. Step 2: Convert to fraction form
    354,953.14/489,777.50 = 209,738.70/x
  3. Step 3: Cross multiply
    354,953.14x = 489,777.50 × 209,738.70
  4. Step 4: Simplify right side
    354,953.14x = 102,725,296,663.60
  5. Step 5: Solve for x
    x = 102,725,296,663.60/354,953.14
  6. Step 6: Final answer
    x = 289,405.24

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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.