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Finding the Fourth Proportional to 512,415.80, 768,738.90 and 301,945.40

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Solution

The fourth proportional to 512,415.80, 768,738.90 and 301,945.40 is: 452,985.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,415.80 : 768,738.90 = 301,945.40 : x
  2. Step 2: Convert to fraction form
    512,415.80/768,738.90 = 301,945.40/x
  3. Step 3: Cross multiply
    512,415.80x = 768,738.90 × 301,945.40
  4. Step 4: Simplify right side
    512,415.80x = 232,117,174,656.06
  5. Step 5: Solve for x
    x = 232,117,174,656.06/512,415.80
  6. Step 6: Final answer
    x = 452,985.98

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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.