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Finding the Fourth Proportional to 405,372.94, 606,552.77 and 254,909.77

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Solution

The fourth proportional to 405,372.94, 606,552.77 and 254,909.77 is: 381,417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,372.94 : 606,552.77 = 254,909.77 : x
  2. Step 2: Convert to fraction form
    405,372.94/606,552.77 = 254,909.77/x
  3. Step 3: Cross multiply
    405,372.94x = 606,552.77 × 254,909.77
  4. Step 4: Simplify right side
    405,372.94x = 154,616,226,214.46
  5. Step 5: Solve for x
    x = 154,616,226,214.46/405,372.94
  6. Step 6: Final answer
    x = 381,417.24

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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.