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Finding the Fourth Proportional to 550,986.75, 760,320 and 309,222.64

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Solution

The fourth proportional to 550,986.75, 760,320 and 309,222.64 is: 426,703.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,986.75 : 760,320 = 309,222.64 : x
  2. Step 2: Convert to fraction form
    550,986.75/760,320 = 309,222.64/x
  3. Step 3: Cross multiply
    550,986.75x = 760,320 × 309,222.64
  4. Step 4: Simplify right side
    550,986.75x = 235,108,158,595.20
  5. Step 5: Solve for x
    x = 235,108,158,595.20/550,986.75
  6. Step 6: Final answer
    x = 426,703.83

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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.