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Finding the Fourth Proportional to 404,017.80, 605,508.30 and 310,057.80

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Solution

The fourth proportional to 404,017.80, 605,508.30 and 310,057.80 is: 464,688.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,017.80 : 605,508.30 = 310,057.80 : x
  2. Step 2: Convert to fraction form
    404,017.80/605,508.30 = 310,057.80/x
  3. Step 3: Cross multiply
    404,017.80x = 605,508.30 × 310,057.80
  4. Step 4: Simplify right side
    404,017.80x = 187,742,571,379.74
  5. Step 5: Solve for x
    x = 187,742,571,379.74/404,017.80
  6. Step 6: Final answer
    x = 464,688.86

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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.