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Finding the Fourth Proportional to 512,237.50, 768,222.30 and 152,311.42

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Solution

The fourth proportional to 512,237.50, 768,222.30 and 152,311.42 is: 228,427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,237.50 : 768,222.30 = 152,311.42 : x
  2. Step 2: Convert to fraction form
    512,237.50/768,222.30 = 152,311.42/x
  3. Step 3: Cross multiply
    512,237.50x = 768,222.30 × 152,311.42
  4. Step 4: Simplify right side
    512,237.50x = 117,009,026,598.86
  5. Step 5: Solve for x
    x = 117,009,026,598.86/512,237.50
  6. Step 6: Final answer
    x = 228,427.30

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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.