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Finding the Fourth Proportional to 777,898, 1,073,472.36 and 438,346

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Solution

The fourth proportional to 777,898, 1,073,472.36 and 438,346 is: 604,902.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,898 : 1,073,472.36 = 438,346 : x
  2. Step 2: Convert to fraction form
    777,898/1,073,472.36 = 438,346/x
  3. Step 3: Cross multiply
    777,898x = 1,073,472.36 × 438,346
  4. Step 4: Simplify right side
    777,898x = 470,552,315,116.56
  5. Step 5: Solve for x
    x = 470,552,315,116.56/777,898
  6. Step 6: Final answer
    x = 604,902.33

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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.