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Finding the Fourth Proportional to 539,488, 809,270.88 and 207,064

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Solution

The fourth proportional to 539,488, 809,270.88 and 207,064 is: 310,610.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,488 : 809,270.88 = 207,064 : x
  2. Step 2: Convert to fraction form
    539,488/809,270.88 = 207,064/x
  3. Step 3: Cross multiply
    539,488x = 809,270.88 × 207,064
  4. Step 4: Simplify right side
    539,488x = 167,570,865,496.32
  5. Step 5: Solve for x
    x = 167,570,865,496.32/539,488
  6. Step 6: Final answer
    x = 310,610.92

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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.