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Finding the Fourth Proportional to 539,686.40, 808,838.40 and 414,406.40

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Solution

The fourth proportional to 539,686.40, 808,838.40 and 414,406.40 is: 621,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,686.40 : 808,838.40 = 414,406.40 : x
  2. Step 2: Convert to fraction form
    539,686.40/808,838.40 = 414,406.40/x
  3. Step 3: Cross multiply
    539,686.40x = 808,838.40 × 414,406.40
  4. Step 4: Simplify right side
    539,686.40x = 335,187,809,525.76
  5. Step 5: Solve for x
    x = 335,187,809,525.76/539,686.40
  6. Step 6: Final answer
    x = 621,078.85

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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.