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Finding the Fourth Proportional to 413,659.47, 620,336.10 and 147,349.29

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Solution

The fourth proportional to 413,659.47, 620,336.10 and 147,349.29 is: 220,969.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,659.47 : 620,336.10 = 147,349.29 : x
  2. Step 2: Convert to fraction form
    413,659.47/620,336.10 = 147,349.29/x
  3. Step 3: Cross multiply
    413,659.47x = 620,336.10 × 147,349.29
  4. Step 4: Simplify right side
    413,659.47x = 91,406,083,896.37
  5. Step 5: Solve for x
    x = 91,406,083,896.37/413,659.47
  6. Step 6: Final answer
    x = 220,969.40

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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.