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Finding the Fourth Proportional to 862,920.30, 1,293,408.45 and 413,856.30

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Solution

The fourth proportional to 862,920.30, 1,293,408.45 and 413,856.30 is: 620,318.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,920.30 : 1,293,408.45 = 413,856.30 : x
  2. Step 2: Convert to fraction form
    862,920.30/1,293,408.45 = 413,856.30/x
  3. Step 3: Cross multiply
    862,920.30x = 1,293,408.45 × 413,856.30
  4. Step 4: Simplify right side
    862,920.30x = 535,285,235,505.74
  5. Step 5: Solve for x
    x = 535,285,235,505.74/862,920.30
  6. Step 6: Final answer
    x = 620,318.28

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1.5x scale

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.