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Finding the Fourth Proportional to 539,478, 809,255.88 and 207,054

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Solution

The fourth proportional to 539,478, 809,255.88 and 207,054 is: 310,595.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,478 : 809,255.88 = 207,054 : x
  2. Step 2: Convert to fraction form
    539,478/809,255.88 = 207,054/x
  3. Step 3: Cross multiply
    539,478x = 809,255.88 × 207,054
  4. Step 4: Simplify right side
    539,478x = 167,559,666,977.52
  5. Step 5: Solve for x
    x = 167,559,666,977.52/539,478
  6. Step 6: Final answer
    x = 310,595.92

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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.