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Finding the Fourth Proportional to 509,968.80, 765,068.40 and 299,498.40

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Solution

The fourth proportional to 509,968.80, 765,068.40 and 299,498.40 is: 449,315.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,968.80 : 765,068.40 = 299,498.40 : x
  2. Step 2: Convert to fraction form
    509,968.80/765,068.40 = 299,498.40/x
  3. Step 3: Cross multiply
    509,968.80x = 765,068.40 × 299,498.40
  4. Step 4: Simplify right side
    509,968.80x = 229,136,761,690.56
  5. Step 5: Solve for x
    x = 229,136,761,690.56/509,968.80
  6. Step 6: Final answer
    x = 449,315.26

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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.