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Finding the Fourth Proportional to 505,813.10, 697,211.38 and 342,418.08

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Solution

The fourth proportional to 505,813.10, 697,211.38 and 342,418.08 is: 471,988.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,813.10 : 697,211.38 = 342,418.08 : x
  2. Step 2: Convert to fraction form
    505,813.10/697,211.38 = 342,418.08/x
  3. Step 3: Cross multiply
    505,813.10x = 697,211.38 × 342,418.08
  4. Step 4: Simplify right side
    505,813.10x = 238,737,782,093.75
  5. Step 5: Solve for x
    x = 238,737,782,093.75/505,813.10
  6. Step 6: Final answer
    x = 471,988.14

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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.