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Finding the Fourth Proportional to 472,941.38, 709,692.48 and 443,018.42

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Solution

The fourth proportional to 472,941.38, 709,692.48 and 443,018.42 is: 664,790.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,941.38 : 709,692.48 = 443,018.42 : x
  2. Step 2: Convert to fraction form
    472,941.38/709,692.48 = 443,018.42/x
  3. Step 3: Cross multiply
    472,941.38x = 709,692.48 × 443,018.42
  4. Step 4: Simplify right side
    472,941.38x = 314,406,841,175.48
  5. Step 5: Solve for x
    x = 314,406,841,175.48/472,941.38
  6. Step 6: Final answer
    x = 664,790.30

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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.