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Finding the Fourth Proportional to 307,858.70, 461,010.45 and 202,105.10

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Solution

The fourth proportional to 307,858.70, 461,010.45 and 202,105.10 is: 302,647.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,858.70 : 461,010.45 = 202,105.10 : x
  2. Step 2: Convert to fraction form
    307,858.70/461,010.45 = 202,105.10/x
  3. Step 3: Cross multiply
    307,858.70x = 461,010.45 × 202,105.10
  4. Step 4: Simplify right side
    307,858.70x = 93,172,563,098.30
  5. Step 5: Solve for x
    x = 93,172,563,098.30/307,858.70
  6. Step 6: Final answer
    x = 302,647.17

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1.5x scale

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.