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Finding the Fourth Proportional to 577,308.70, 866,999.85 and 419,715.10

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Solution

The fourth proportional to 577,308.70, 866,999.85 and 419,715.10 is: 630,326.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,308.70 : 866,999.85 = 419,715.10 : x
  2. Step 2: Convert to fraction form
    577,308.70/866,999.85 = 419,715.10/x
  3. Step 3: Cross multiply
    577,308.70x = 866,999.85 × 419,715.10
  4. Step 4: Simplify right side
    577,308.70x = 363,892,928,742.74
  5. Step 5: Solve for x
    x = 363,892,928,742.74/577,308.70
  6. Step 6: Final answer
    x = 630,326.42

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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.