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Finding the Fourth Proportional to 457,441.28, 631,488 and 304,733.60

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Solution

The fourth proportional to 457,441.28, 631,488 and 304,733.60 is: 420,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,441.28 : 631,488 = 304,733.60 : x
  2. Step 2: Convert to fraction form
    457,441.28/631,488 = 304,733.60/x
  3. Step 3: Cross multiply
    457,441.28x = 631,488 × 304,733.60
  4. Step 4: Simplify right side
    457,441.28x = 192,435,611,596.80
  5. Step 5: Solve for x
    x = 192,435,611,596.80/457,441.28
  6. Step 6: Final answer
    x = 420,678.28

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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.