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Finding the Fourth Proportional to 512,000.10, 768,000.15 and 288,051.30

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Solution

The fourth proportional to 512,000.10, 768,000.15 and 288,051.30 is: 432,076.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,000.10 : 768,000.15 = 288,051.30 : x
  2. Step 2: Convert to fraction form
    512,000.10/768,000.15 = 288,051.30/x
  3. Step 3: Cross multiply
    512,000.10x = 768,000.15 × 288,051.30
  4. Step 4: Simplify right side
    512,000.10x = 221,223,441,607.70
  5. Step 5: Solve for x
    x = 221,223,441,607.70/512,000.10
  6. Step 6: Final answer
    x = 432,076.95

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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.