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Finding the Fourth Proportional to 652,065.80, 977,709.90 and 337,137.80

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Solution

The fourth proportional to 652,065.80, 977,709.90 and 337,137.80 is: 505,505.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,065.80 : 977,709.90 = 337,137.80 : x
  2. Step 2: Convert to fraction form
    652,065.80/977,709.90 = 337,137.80/x
  3. Step 3: Cross multiply
    652,065.80x = 977,709.90 × 337,137.80
  4. Step 4: Simplify right side
    652,065.80x = 329,622,964,724.22
  5. Step 5: Solve for x
    x = 329,622,964,724.22/652,065.80
  6. Step 6: Final answer
    x = 505,505.68

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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.