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Finding the Fourth Proportional to 369,363.66, 509,729.65 and 208,218.71

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Solution

The fourth proportional to 369,363.66, 509,729.65 and 208,218.71 is: 287,346.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,363.66 : 509,729.65 = 208,218.71 : x
  2. Step 2: Convert to fraction form
    369,363.66/509,729.65 = 208,218.71/x
  3. Step 3: Cross multiply
    369,363.66x = 509,729.65 × 208,218.71
  4. Step 4: Simplify right side
    369,363.66x = 106,135,250,171.75
  5. Step 5: Solve for x
    x = 106,135,250,171.75/369,363.66
  6. Step 6: Final answer
    x = 287,346.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.