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Finding the Fourth Proportional to 509,682.24, 703,404 and 283,348.80

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Solution

The fourth proportional to 509,682.24, 703,404 and 283,348.80 is: 391,044.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,682.24 : 703,404 = 283,348.80 : x
  2. Step 2: Convert to fraction form
    509,682.24/703,404 = 283,348.80/x
  3. Step 3: Cross multiply
    509,682.24x = 703,404 × 283,348.80
  4. Step 4: Simplify right side
    509,682.24x = 199,308,679,315.20
  5. Step 5: Solve for x
    x = 199,308,679,315.20/509,682.24
  6. Step 6: Final answer
    x = 391,044.98

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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.