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Finding the Fourth Proportional to 512,276.40, 768,495.60 and 175,348.80

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Solution

The fourth proportional to 512,276.40, 768,495.60 and 175,348.80 is: 263,050.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,276.40 : 768,495.60 = 175,348.80 : x
  2. Step 2: Convert to fraction form
    512,276.40/768,495.60 = 175,348.80/x
  3. Step 3: Cross multiply
    512,276.40x = 768,495.60 × 175,348.80
  4. Step 4: Simplify right side
    512,276.40x = 134,754,781,265.28
  5. Step 5: Solve for x
    x = 134,754,781,265.28/512,276.40
  6. Step 6: Final answer
    x = 263,050.93

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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.