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Finding the Fourth Proportional to 279,938.60, 419,907.90 and 102,451.40

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Solution

The fourth proportional to 279,938.60, 419,907.90 and 102,451.40 is: 153,677.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,938.60 : 419,907.90 = 102,451.40 : x
  2. Step 2: Convert to fraction form
    279,938.60/419,907.90 = 102,451.40/x
  3. Step 3: Cross multiply
    279,938.60x = 419,907.90 × 102,451.40
  4. Step 4: Simplify right side
    279,938.60x = 43,020,152,226.06
  5. Step 5: Solve for x
    x = 43,020,152,226.06/279,938.60
  6. Step 6: Final answer
    x = 153,677.10

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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.