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Finding the Fourth Proportional to 377,403.90, 566,105.74 and 258,715.41

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Solution

The fourth proportional to 377,403.90, 566,105.74 and 258,715.41 is: 388,073.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,403.90 : 566,105.74 = 258,715.41 : x
  2. Step 2: Convert to fraction form
    377,403.90/566,105.74 = 258,715.41/x
  3. Step 3: Cross multiply
    377,403.90x = 566,105.74 × 258,715.41
  4. Step 4: Simplify right side
    377,403.90x = 146,460,278,627.45
  5. Step 5: Solve for x
    x = 146,460,278,627.45/377,403.90
  6. Step 6: Final answer
    x = 388,073.04

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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.