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Finding the Fourth Proportional to 453,783.34, 680,680.48 and 138,242.98

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Solution

The fourth proportional to 453,783.34, 680,680.48 and 138,242.98 is: 207,366.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,783.34 : 680,680.48 = 138,242.98 : x
  2. Step 2: Convert to fraction form
    453,783.34/680,680.48 = 138,242.98/x
  3. Step 3: Cross multiply
    453,783.34x = 680,680.48 × 138,242.98
  4. Step 4: Simplify right side
    453,783.34x = 94,099,297,983.03
  5. Step 5: Solve for x
    x = 94,099,297,983.03/453,783.34
  6. Step 6: Final answer
    x = 207,366.14

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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.