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Finding the Fourth Proportional to 539,447.40, 808,296.30 and 339,409.80

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Solution

The fourth proportional to 539,447.40, 808,296.30 and 339,409.80 is: 508,564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,447.40 : 808,296.30 = 339,409.80 : x
  2. Step 2: Convert to fraction form
    539,447.40/808,296.30 = 339,409.80/x
  3. Step 3: Cross multiply
    539,447.40x = 808,296.30 × 339,409.80
  4. Step 4: Simplify right side
    539,447.40x = 274,343,685,523.74
  5. Step 5: Solve for x
    x = 274,343,685,523.74/539,447.40
  6. Step 6: Final answer
    x = 508,564.29

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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.