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Finding the Fourth Proportional to 550,868.96, 760,214.24 and 309,166.52

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Solution

The fourth proportional to 550,868.96, 760,214.24 and 309,166.52 is: 426,658.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,868.96 : 760,214.24 = 309,166.52 : x
  2. Step 2: Convert to fraction form
    550,868.96/760,214.24 = 309,166.52/x
  3. Step 3: Cross multiply
    550,868.96x = 760,214.24 × 309,166.52
  4. Step 4: Simplify right side
    550,868.96x = 235,032,788,586.78
  5. Step 5: Solve for x
    x = 235,032,788,586.78/550,868.96
  6. Step 6: Final answer
    x = 426,658.25

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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.