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Finding the Fourth Proportional to 993,729, 1,490,593.98 and 319,810.28

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Solution

The fourth proportional to 993,729, 1,490,593.98 and 319,810.28 is: 479,715.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,729 : 1,490,593.98 = 319,810.28 : x
  2. Step 2: Convert to fraction form
    993,729/1,490,593.98 = 319,810.28/x
  3. Step 3: Cross multiply
    993,729x = 1,490,593.98 × 319,810.28
  4. Step 4: Simplify right side
    993,729x = 476,707,278,110.11
  5. Step 5: Solve for x
    x = 476,707,278,110.11/993,729
  6. Step 6: Final answer
    x = 479,715.57

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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.