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Finding the Fourth Proportional to 500,009.32, 689,996.10 and 285,218.92

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Solution

The fourth proportional to 500,009.32, 689,996.10 and 285,218.92 is: 393,592.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,009.32 : 689,996.10 = 285,218.92 : x
  2. Step 2: Convert to fraction form
    500,009.32/689,996.10 = 285,218.92/x
  3. Step 3: Cross multiply
    500,009.32x = 689,996.10 × 285,218.92
  4. Step 4: Simplify right side
    500,009.32x = 196,799,942,446.21
  5. Step 5: Solve for x
    x = 196,799,942,446.21/500,009.32
  6. Step 6: Final answer
    x = 393,592.55

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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.