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Finding the Fourth Proportional to 453,872.80, 680,809.20 and 138,345.40

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Solution

The fourth proportional to 453,872.80, 680,809.20 and 138,345.40 is: 207,518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,872.80 : 680,809.20 = 138,345.40 : x
  2. Step 2: Convert to fraction form
    453,872.80/680,809.20 = 138,345.40/x
  3. Step 3: Cross multiply
    453,872.80x = 680,809.20 × 138,345.40
  4. Step 4: Simplify right side
    453,872.80x = 94,186,821,097.68
  5. Step 5: Solve for x
    x = 94,186,821,097.68/453,872.80
  6. Step 6: Final answer
    x = 207,518.10

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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.