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Finding the Fourth Proportional to 509,502.08, 703,269.54 and 328,213.46

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Solution

The fourth proportional to 509,502.08, 703,269.54 and 328,213.46 is: 453,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,502.08 : 703,269.54 = 328,213.46 : x
  2. Step 2: Convert to fraction form
    509,502.08/703,269.54 = 328,213.46/x
  3. Step 3: Cross multiply
    509,502.08x = 703,269.54 × 328,213.46
  4. Step 4: Simplify right side
    509,502.08x = 230,822,530,794.18
  5. Step 5: Solve for x
    x = 230,822,530,794.18/509,502.08
  6. Step 6: Final answer
    x = 453,035.50

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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.