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Finding the Fourth Proportional to 279,937,007.60, 419,905,511.40 and 75,457,756.40

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Solution

The fourth proportional to 279,937,007.60, 419,905,511.40 and 75,457,756.40 is: 113,186,634.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,937,007.60 : 419,905,511.40 = 75,457,756.40 : x
  2. Step 2: Convert to fraction form
    279,937,007.60/419,905,511.40 = 75,457,756.40/x
  3. Step 3: Cross multiply
    279,937,007.60x = 419,905,511.40 × 75,457,756.40
  4. Step 4: Simplify right side
    279,937,007.60x = 31,685,127,790,238,624
  5. Step 5: Solve for x
    x = 31,685,127,790,238,624/279,937,007.60
  6. Step 6: Final answer
    x = 113,186,634.60

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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.