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Finding the Fourth Proportional to 500,754.29, 691,008.17 and 319,446.77

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Solution

The fourth proportional to 500,754.29, 691,008.17 and 319,446.77 is: 440,815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,754.29 : 691,008.17 = 319,446.77 : x
  2. Step 2: Convert to fraction form
    500,754.29/691,008.17 = 319,446.77/x
  3. Step 3: Cross multiply
    500,754.29x = 691,008.17 × 319,446.77
  4. Step 4: Simplify right side
    500,754.29x = 220,740,322,897.84
  5. Step 5: Solve for x
    x = 220,740,322,897.84/500,754.29
  6. Step 6: Final answer
    x = 440,815.64

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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.