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Finding the Fourth Proportional to 453,646.50, 680,568.16 and 138,095.21

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Solution

The fourth proportional to 453,646.50, 680,568.16 and 138,095.21 is: 207,172.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,646.50 : 680,568.16 = 138,095.21 : x
  2. Step 2: Convert to fraction form
    453,646.50/680,568.16 = 138,095.21/x
  3. Step 3: Cross multiply
    453,646.50x = 680,568.16 × 138,095.21
  4. Step 4: Simplify right side
    453,646.50x = 93,983,201,618.33
  5. Step 5: Solve for x
    x = 93,983,201,618.33/453,646.50
  6. Step 6: Final answer
    x = 207,172.77

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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.