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Finding the Fourth Proportional to 445,886.83, 668,830.70 and 209,229.74

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Solution

The fourth proportional to 445,886.83, 668,830.70 and 209,229.74 is: 313,844.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,886.83 : 668,830.70 = 209,229.74 : x
  2. Step 2: Convert to fraction form
    445,886.83/668,830.70 = 209,229.74/x
  3. Step 3: Cross multiply
    445,886.83x = 668,830.70 × 209,229.74
  4. Step 4: Simplify right side
    445,886.83x = 139,939,273,152.05
  5. Step 5: Solve for x
    x = 139,939,273,152.05/445,886.83
  6. Step 6: Final answer
    x = 313,844.82

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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.