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Finding the Fourth Proportional to 923,212, 1,274,076.57 and 520,804

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Solution

The fourth proportional to 923,212, 1,274,076.57 and 520,804 is: 718,734.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,212 : 1,274,076.57 = 520,804 : x
  2. Step 2: Convert to fraction form
    923,212/1,274,076.57 = 520,804/x
  3. Step 3: Cross multiply
    923,212x = 1,274,076.57 × 520,804
  4. Step 4: Simplify right side
    923,212x = 663,544,173,962.28
  5. Step 5: Solve for x
    x = 663,544,173,962.28/923,212
  6. Step 6: Final answer
    x = 718,734.35

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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.