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Finding the Fourth Proportional to 539,719.40, 808,887.90 and 414,439.40

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Solution

The fourth proportional to 539,719.40, 808,887.90 and 414,439.40 is: 621,128.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,719.40 : 808,887.90 = 414,439.40 : x
  2. Step 2: Convert to fraction form
    539,719.40/808,887.90 = 414,439.40/x
  3. Step 3: Cross multiply
    539,719.40x = 808,887.90 × 414,439.40
  4. Step 4: Simplify right side
    539,719.40x = 335,235,015,943.26
  5. Step 5: Solve for x
    x = 335,235,015,943.26/539,719.40
  6. Step 6: Final answer
    x = 621,128.34

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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.