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Finding the Fourth Proportional to 420,289.81, 629,909.35 and 270,130.45

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Solution

The fourth proportional to 420,289.81, 629,909.35 and 270,130.45 is: 404,858.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,289.81 : 629,909.35 = 270,130.45 : x
  2. Step 2: Convert to fraction form
    420,289.81/629,909.35 = 270,130.45/x
  3. Step 3: Cross multiply
    420,289.81x = 629,909.35 × 270,130.45
  4. Step 4: Simplify right side
    420,289.81x = 170,157,696,174.71
  5. Step 5: Solve for x
    x = 170,157,696,174.71/420,289.81
  6. Step 6: Final answer
    x = 404,858.01

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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.