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Finding the Fourth Proportional to 200,813.40, 301,047.30 and 102,317.40

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Solution

The fourth proportional to 200,813.40, 301,047.30 and 102,317.40 is: 153,388.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,813.40 : 301,047.30 = 102,317.40 : x
  2. Step 2: Convert to fraction form
    200,813.40/301,047.30 = 102,317.40/x
  3. Step 3: Cross multiply
    200,813.40x = 301,047.30 × 102,317.40
  4. Step 4: Simplify right side
    200,813.40x = 30,802,377,013.02
  5. Step 5: Solve for x
    x = 30,802,377,013.02/200,813.40
  6. Step 6: Final answer
    x = 153,388.06

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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.