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Finding the Fourth Proportional to 509,818.40, 765,310.80 and 299,574.80

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Solution

The fourth proportional to 509,818.40, 765,310.80 and 299,574.80 is: 449,704.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,818.40 : 765,310.80 = 299,574.80 : x
  2. Step 2: Convert to fraction form
    509,818.40/765,310.80 = 299,574.80/x
  3. Step 3: Cross multiply
    509,818.40x = 765,310.80 × 299,574.80
  4. Step 4: Simplify right side
    509,818.40x = 229,267,829,847.84
  5. Step 5: Solve for x
    x = 229,267,829,847.84/509,818.40
  6. Step 6: Final answer
    x = 449,704.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.