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Finding the Fourth Proportional to 653,354.64, 980,731.80 and 514,086.48

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Solution

The fourth proportional to 653,354.64, 980,731.80 and 514,086.48 is: 771,680.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,354.64 : 980,731.80 = 514,086.48 : x
  2. Step 2: Convert to fraction form
    653,354.64/980,731.80 = 514,086.48/x
  3. Step 3: Cross multiply
    653,354.64x = 980,731.80 × 514,086.48
  4. Step 4: Simplify right side
    653,354.64x = 504,180,958,886.06
  5. Step 5: Solve for x
    x = 504,180,958,886.06/653,354.64
  6. Step 6: Final answer
    x = 771,680.38

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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.