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Finding the Fourth Proportional to 408,820.54, 611,731.04 and 341,185.47

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Solution

The fourth proportional to 408,820.54, 611,731.04 and 341,185.47 is: 510,526.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,820.54 : 611,731.04 = 341,185.47 : x
  2. Step 2: Convert to fraction form
    408,820.54/611,731.04 = 341,185.47/x
  3. Step 3: Cross multiply
    408,820.54x = 611,731.04 × 341,185.47
  4. Step 4: Simplify right side
    408,820.54x = 208,713,742,395.99
  5. Step 5: Solve for x
    x = 208,713,742,395.99/408,820.54
  6. Step 6: Final answer
    x = 510,526.56

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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.