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Finding the Fourth Proportional to 512,070.88, 706,460.72 and 320,751.20

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Solution

The fourth proportional to 512,070.88, 706,460.72 and 320,751.20 is: 442,513.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,070.88 : 706,460.72 = 320,751.20 : x
  2. Step 2: Convert to fraction form
    512,070.88/706,460.72 = 320,751.20/x
  3. Step 3: Cross multiply
    512,070.88x = 706,460.72 × 320,751.20
  4. Step 4: Simplify right side
    512,070.88x = 226,598,123,692.86
  5. Step 5: Solve for x
    x = 226,598,123,692.86/512,070.88
  6. Step 6: Final answer
    x = 442,513.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.