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Finding the Fourth Proportional to 817,580, 1,226,439.12 and 226,604

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Solution

The fourth proportional to 817,580, 1,226,439.12 and 226,604 is: 339,925.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,580 : 1,226,439.12 = 226,604 : x
  2. Step 2: Convert to fraction form
    817,580/1,226,439.12 = 226,604/x
  3. Step 3: Cross multiply
    817,580x = 1,226,439.12 × 226,604
  4. Step 4: Simplify right side
    817,580x = 277,916,010,348.48
  5. Step 5: Solve for x
    x = 277,916,010,348.48/817,580
  6. Step 6: Final answer
    x = 339,925.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.