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Finding the Fourth Proportional to 590,656.66, 816,172.41 and 420,595.54

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Solution

The fourth proportional to 590,656.66, 816,172.41 and 420,595.54 is: 581,181.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,656.66 : 816,172.41 = 420,595.54 : x
  2. Step 2: Convert to fraction form
    590,656.66/816,172.41 = 420,595.54/x
  3. Step 3: Cross multiply
    590,656.66x = 816,172.41 × 420,595.54
  4. Step 4: Simplify right side
    590,656.66x = 343,278,475,517.05
  5. Step 5: Solve for x
    x = 343,278,475,517.05/590,656.66
  6. Step 6: Final answer
    x = 581,181.08

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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.