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Finding the Fourth Proportional to 509,748.15, 703,470.47 and 280,322.91

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Solution

The fourth proportional to 509,748.15, 703,470.47 and 280,322.91 is: 386,855.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,748.15 : 703,470.47 = 280,322.91 : x
  2. Step 2: Convert to fraction form
    509,748.15/703,470.47 = 280,322.91/x
  3. Step 3: Cross multiply
    509,748.15x = 703,470.47 × 280,322.91
  4. Step 4: Simplify right side
    509,748.15x = 197,198,887,847.85
  5. Step 5: Solve for x
    x = 197,198,887,847.85/509,748.15
  6. Step 6: Final answer
    x = 386,855.52

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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.