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Finding the Fourth Proportional to 825,319, 1,138,957.50 and 467,623

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Solution

The fourth proportional to 825,319, 1,138,957.50 and 467,623 is: 645,329.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,319 : 1,138,957.50 = 467,623 : x
  2. Step 2: Convert to fraction form
    825,319/1,138,957.50 = 467,623/x
  3. Step 3: Cross multiply
    825,319x = 1,138,957.50 × 467,623
  4. Step 4: Simplify right side
    825,319x = 532,602,723,022.50
  5. Step 5: Solve for x
    x = 532,602,723,022.50/825,319
  6. Step 6: Final answer
    x = 645,329.53

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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.