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Finding the Fourth Proportional to 539,643, 809,503.74 and 207,219

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Solution

The fourth proportional to 539,643, 809,503.74 and 207,219 is: 310,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,643 : 809,503.74 = 207,219 : x
  2. Step 2: Convert to fraction form
    539,643/809,503.74 = 207,219/x
  3. Step 3: Cross multiply
    539,643x = 809,503.74 × 207,219
  4. Step 4: Simplify right side
    539,643x = 167,744,555,499.06
  5. Step 5: Solve for x
    x = 167,744,555,499.06/539,643
  6. Step 6: Final answer
    x = 310,843.57

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1.5x scale

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.