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Finding the Fourth Proportional to 489,981.96, 676,248.48 and 299,106

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Solution

The fourth proportional to 489,981.96, 676,248.48 and 299,106 is: 412,811.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,981.96 : 676,248.48 = 299,106 : x
  2. Step 2: Convert to fraction form
    489,981.96/676,248.48 = 299,106/x
  3. Step 3: Cross multiply
    489,981.96x = 676,248.48 × 299,106
  4. Step 4: Simplify right side
    489,981.96x = 202,269,977,858.88
  5. Step 5: Solve for x
    x = 202,269,977,858.88/489,981.96
  6. Step 6: Final answer
    x = 412,811.07

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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.