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Finding the Fourth Proportional to 505,931.00, 698,224.46 and 288,148.86

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Solution

The fourth proportional to 505,931.00, 698,224.46 and 288,148.86 is: 397,668.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,931.00 : 698,224.46 = 288,148.86 : x
  2. Step 2: Convert to fraction form
    505,931.00/698,224.46 = 288,148.86/x
  3. Step 3: Cross multiply
    505,931.00x = 698,224.46 × 288,148.86
  4. Step 4: Simplify right side
    505,931.00x = 201,192,580,732.37
  5. Step 5: Solve for x
    x = 201,192,580,732.37/505,931.00
  6. Step 6: Final answer
    x = 397,668.03

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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.