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Finding the Fourth Proportional to 553,218.50, 763,360.31 and 311,452.94

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Solution

The fourth proportional to 553,218.50, 763,360.31 and 311,452.94 is: 429,759.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,218.50 : 763,360.31 = 311,452.94 : x
  2. Step 2: Convert to fraction form
    553,218.50/763,360.31 = 311,452.94/x
  3. Step 3: Cross multiply
    553,218.50x = 763,360.31 × 311,452.94
  4. Step 4: Simplify right side
    553,218.50x = 237,750,809,790.64
  5. Step 5: Solve for x
    x = 237,750,809,790.64/553,218.50
  6. Step 6: Final answer
    x = 429,759.33

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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.