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Finding the Fourth Proportional to 500,697, 690,978.06 and 274,357.08

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Solution

The fourth proportional to 500,697, 690,978.06 and 274,357.08 is: 378,621.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,697 : 690,978.06 = 274,357.08 : x
  2. Step 2: Convert to fraction form
    500,697/690,978.06 = 274,357.08/x
  3. Step 3: Cross multiply
    500,697x = 690,978.06 × 274,357.08
  4. Step 4: Simplify right side
    500,697x = 189,574,722,885.67
  5. Step 5: Solve for x
    x = 189,574,722,885.67/500,697
  6. Step 6: Final answer
    x = 378,621.65

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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.