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Finding the Fourth Proportional to 512,235.84, 768,219.88 and 152,309.76

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Solution

The fourth proportional to 512,235.84, 768,219.88 and 152,309.76 is: 228,424.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,235.84 : 768,219.88 = 152,309.76 : x
  2. Step 2: Convert to fraction form
    512,235.84/768,219.88 = 152,309.76/x
  3. Step 3: Cross multiply
    512,235.84x = 768,219.88 × 152,309.76
  4. Step 4: Simplify right side
    512,235.84x = 117,007,385,169.25
  5. Step 5: Solve for x
    x = 117,007,385,169.25/512,235.84
  6. Step 6: Final answer
    x = 228,424.83

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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.