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Finding the Fourth Proportional to 442,168.07, 610,290.32 and 280,991.63

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Solution

The fourth proportional to 442,168.07, 610,290.32 and 280,991.63 is: 387,830.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,168.07 : 610,290.32 = 280,991.63 : x
  2. Step 2: Convert to fraction form
    442,168.07/610,290.32 = 280,991.63/x
  3. Step 3: Cross multiply
    442,168.07x = 610,290.32 × 280,991.63
  4. Step 4: Simplify right side
    442,168.07x = 171,486,471,910.79
  5. Step 5: Solve for x
    x = 171,486,471,910.79/442,168.07
  6. Step 6: Final answer
    x = 387,830.98

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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.