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Finding the Fourth Proportional to 509,722.02, 703,434.43 and 280,296.70

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Solution

The fourth proportional to 509,722.02, 703,434.43 and 280,296.70 is: 386,819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,722.02 : 703,434.43 = 280,296.70 : x
  2. Step 2: Convert to fraction form
    509,722.02/703,434.43 = 280,296.70/x
  3. Step 3: Cross multiply
    509,722.02x = 703,434.43 × 280,296.70
  4. Step 4: Simplify right side
    509,722.02x = 197,170,349,395.38
  5. Step 5: Solve for x
    x = 197,170,349,395.38/509,722.02
  6. Step 6: Final answer
    x = 386,819.37

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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.