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Finding the Fourth Proportional to 645,523.66, 966,415.63 and 486,270.30

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Solution

The fourth proportional to 645,523.66, 966,415.63 and 486,270.30 is: 727,996.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,523.66 : 966,415.63 = 486,270.30 : x
  2. Step 2: Convert to fraction form
    645,523.66/966,415.63 = 486,270.30/x
  3. Step 3: Cross multiply
    645,523.66x = 966,415.63 × 486,270.30
  4. Step 4: Simplify right side
    645,523.66x = 469,939,218,324.79
  5. Step 5: Solve for x
    x = 469,939,218,324.79/645,523.66
  6. Step 6: Final answer
    x = 727,996.89

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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.