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Finding the Fourth Proportional to 539,009.40, 807,639.30 and 338,971.80

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Solution

The fourth proportional to 539,009.40, 807,639.30 and 338,971.80 is: 507,907.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,009.40 : 807,639.30 = 338,971.80 : x
  2. Step 2: Convert to fraction form
    539,009.40/807,639.30 = 338,971.80/x
  3. Step 3: Cross multiply
    539,009.40x = 807,639.30 × 338,971.80
  4. Step 4: Simplify right side
    539,009.40x = 273,766,947,271.74
  5. Step 5: Solve for x
    x = 273,766,947,271.74/539,009.40
  6. Step 6: Final answer
    x = 507,907.56

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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.