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Finding the Fourth Proportional to 513,267.62, 769,907.56 and 310,907.91

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Solution

The fourth proportional to 513,267.62, 769,907.56 and 310,907.91 is: 466,365.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,267.62 : 769,907.56 = 310,907.91 : x
  2. Step 2: Convert to fraction form
    513,267.62/769,907.56 = 310,907.91/x
  3. Step 3: Cross multiply
    513,267.62x = 769,907.56 × 310,907.91
  4. Step 4: Simplify right side
    513,267.62x = 239,370,349,595.53
  5. Step 5: Solve for x
    x = 239,370,349,595.53/513,267.62
  6. Step 6: Final answer
    x = 466,365.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.