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Finding the Fourth Proportional to 442,043.18, 609,859.50 and 289,168.46

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Solution

The fourth proportional to 442,043.18, 609,859.50 and 289,168.46 is: 398,947.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,043.18 : 609,859.50 = 289,168.46 : x
  2. Step 2: Convert to fraction form
    442,043.18/609,859.50 = 289,168.46/x
  3. Step 3: Cross multiply
    442,043.18x = 609,859.50 × 289,168.46
  4. Step 4: Simplify right side
    442,043.18x = 176,352,132,431.37
  5. Step 5: Solve for x
    x = 176,352,132,431.37/442,043.18
  6. Step 6: Final answer
    x = 398,947.75

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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.