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Finding the Fourth Proportional to 297,569.34, 446,378.31 and 139,711.68

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Solution

The fourth proportional to 297,569.34, 446,378.31 and 139,711.68 is: 209,578.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,569.34 : 446,378.31 = 139,711.68 : x
  2. Step 2: Convert to fraction form
    297,569.34/446,378.31 = 139,711.68/x
  3. Step 3: Cross multiply
    297,569.34x = 446,378.31 × 139,711.68
  4. Step 4: Simplify right side
    297,569.34x = 62,364,263,605.66
  5. Step 5: Solve for x
    x = 62,364,263,605.66/297,569.34
  6. Step 6: Final answer
    x = 209,578.93

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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.