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Finding the Fourth Proportional to 353,953.76, 488,457.07 and 192,809.98

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Solution

The fourth proportional to 353,953.76, 488,457.07 and 192,809.98 is: 266,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,953.76 : 488,457.07 = 192,809.98 : x
  2. Step 2: Convert to fraction form
    353,953.76/488,457.07 = 192,809.98/x
  3. Step 3: Cross multiply
    353,953.76x = 488,457.07 × 192,809.98
  4. Step 4: Simplify right side
    353,953.76x = 94,179,399,526.41
  5. Step 5: Solve for x
    x = 94,179,399,526.41/353,953.76
  6. Step 6: Final answer
    x = 266,078.26

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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.