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Finding the Fourth Proportional to 311,283.20, 466,387.20 and 144,729.60

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Solution

The fourth proportional to 311,283.20, 466,387.20 and 144,729.60 is: 216,844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,283.20 : 466,387.20 = 144,729.60 : x
  2. Step 2: Convert to fraction form
    311,283.20/466,387.20 = 144,729.60/x
  3. Step 3: Cross multiply
    311,283.20x = 466,387.20 × 144,729.60
  4. Step 4: Simplify right side
    311,283.20x = 67,500,032,901.12
  5. Step 5: Solve for x
    x = 67,500,032,901.12/311,283.20
  6. Step 6: Final answer
    x = 216,844.45

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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.