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Finding the Fourth Proportional to 489,196.70, 675,098.31 and 295,577.40

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Solution

The fourth proportional to 489,196.70, 675,098.31 and 295,577.40 is: 407,900.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,196.70 : 675,098.31 = 295,577.40 : x
  2. Step 2: Convert to fraction form
    489,196.70/675,098.31 = 295,577.40/x
  3. Step 3: Cross multiply
    489,196.70x = 675,098.31 × 295,577.40
  4. Step 4: Simplify right side
    489,196.70x = 199,543,803,214.19
  5. Step 5: Solve for x
    x = 199,543,803,214.19/489,196.70
  6. Step 6: Final answer
    x = 407,900.96

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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.