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Finding the Fourth Proportional to 512,813,426.40, 769,220,139.60 and 149,319,640.80

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Solution

The fourth proportional to 512,813,426.40, 769,220,139.60 and 149,319,640.80 is: 223,979,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,813,426.40 : 769,220,139.60 = 149,319,640.80 : x
  2. Step 2: Convert to fraction form
    512,813,426.40/769,220,139.60 = 149,319,640.80/x
  3. Step 3: Cross multiply
    512,813,426.40x = 769,220,139.60 × 149,319,640.80
  4. Step 4: Simplify right side
    512,813,426.40x = 114,859,674,941,197,872
  5. Step 5: Solve for x
    x = 114,859,674,941,197,872/512,813,426.40
  6. Step 6: Final answer
    x = 223,979,461.20

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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.