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Finding the Fourth Proportional to 413,875.40, 620,921.10 and 133,399.40

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Solution

The fourth proportional to 413,875.40, 620,921.10 and 133,399.40 is: 200,133.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,875.40 : 620,921.10 = 133,399.40 : x
  2. Step 2: Convert to fraction form
    413,875.40/620,921.10 = 133,399.40/x
  3. Step 3: Cross multiply
    413,875.40x = 620,921.10 × 133,399.40
  4. Step 4: Simplify right side
    413,875.40x = 82,830,502,187.34
  5. Step 5: Solve for x
    x = 82,830,502,187.34/413,875.40
  6. Step 6: Final answer
    x = 200,133.91

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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.