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Finding the Fourth Proportional to 413,564.60, 620,346.90 and 147,625.40

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Solution

The fourth proportional to 413,564.60, 620,346.90 and 147,625.40 is: 221,438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,564.60 : 620,346.90 = 147,625.40 : x
  2. Step 2: Convert to fraction form
    413,564.60/620,346.90 = 147,625.40/x
  3. Step 3: Cross multiply
    413,564.60x = 620,346.90 × 147,625.40
  4. Step 4: Simplify right side
    413,564.60x = 91,578,959,251.26
  5. Step 5: Solve for x
    x = 91,578,959,251.26/413,564.60
  6. Step 6: Final answer
    x = 221,438.10

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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.