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Finding the Fourth Proportional to 719,866, 993,415.16 and 418,079.44

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Solution

The fourth proportional to 719,866, 993,415.16 and 418,079.44 is: 576,949.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,866 : 993,415.16 = 418,079.44 : x
  2. Step 2: Convert to fraction form
    719,866/993,415.16 = 418,079.44/x
  3. Step 3: Cross multiply
    719,866x = 993,415.16 × 418,079.44
  4. Step 4: Simplify right side
    719,866x = 415,326,453,780.31
  5. Step 5: Solve for x
    x = 415,326,453,780.31/719,866
  6. Step 6: Final answer
    x = 576,949.67

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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.