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Finding the Fourth Proportional to 509,710.40, 765,148.80 and 299,466.80

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Solution

The fourth proportional to 509,710.40, 765,148.80 and 299,466.80 is: 449,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,710.40 : 765,148.80 = 299,466.80 : x
  2. Step 2: Convert to fraction form
    509,710.40/765,148.80 = 299,466.80/x
  3. Step 3: Cross multiply
    509,710.40x = 765,148.80 × 299,466.80
  4. Step 4: Simplify right side
    509,710.40x = 229,136,662,659.84
  5. Step 5: Solve for x
    x = 229,136,662,659.84/509,710.40
  6. Step 6: Final answer
    x = 449,542.84

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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.