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Finding the Fourth Proportional to 539,689.40, 808,842.90 and 414,409.40

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Solution

The fourth proportional to 539,689.40, 808,842.90 and 414,409.40 is: 621,083.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,689.40 : 808,842.90 = 414,409.40 : x
  2. Step 2: Convert to fraction form
    539,689.40/808,842.90 = 414,409.40/x
  3. Step 3: Cross multiply
    539,689.40x = 808,842.90 × 414,409.40
  4. Step 4: Simplify right side
    539,689.40x = 335,192,100,883.26
  5. Step 5: Solve for x
    x = 335,192,100,883.26/539,689.40
  6. Step 6: Final answer
    x = 621,083.35

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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.