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Finding the Fourth Proportional to 281,472.40, 422,515.80 and 157,056.40

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Solution

The fourth proportional to 281,472.40, 422,515.80 and 157,056.40 is: 235,756.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,472.40 : 422,515.80 = 157,056.40 : x
  2. Step 2: Convert to fraction form
    281,472.40/422,515.80 = 157,056.40/x
  3. Step 3: Cross multiply
    281,472.40x = 422,515.80 × 157,056.40
  4. Step 4: Simplify right side
    281,472.40x = 66,358,810,491.12
  5. Step 5: Solve for x
    x = 66,358,810,491.12/281,472.40
  6. Step 6: Final answer
    x = 235,756.01

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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.