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Finding the Fourth Proportional to 650,288.52, 897,098.76 and 420,919.47

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Solution

The fourth proportional to 650,288.52, 897,098.76 and 420,919.47 is: 580,675.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,288.52 : 897,098.76 = 420,919.47 : x
  2. Step 2: Convert to fraction form
    650,288.52/897,098.76 = 420,919.47/x
  3. Step 3: Cross multiply
    650,288.52x = 897,098.76 × 420,919.47
  4. Step 4: Simplify right side
    650,288.52x = 377,606,334,596.86
  5. Step 5: Solve for x
    x = 377,606,334,596.86/650,288.52
  6. Step 6: Final answer
    x = 580,675.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.