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Finding the Fourth Proportional to 472,502.46, 646,836.70 and 469,125.56

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Solution

The fourth proportional to 472,502.46, 646,836.70 and 469,125.56 is: 642,213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,502.46 : 646,836.70 = 469,125.56 : x
  2. Step 2: Convert to fraction form
    472,502.46/646,836.70 = 469,125.56/x
  3. Step 3: Cross multiply
    472,502.46x = 646,836.70 × 469,125.56
  4. Step 4: Simplify right side
    472,502.46x = 303,447,629,116.05
  5. Step 5: Solve for x
    x = 303,447,629,116.05/472,502.46
  6. Step 6: Final answer
    x = 642,213.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.