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Finding the Fourth Proportional to 544,495.76, 816,909.80 and 278,443.16

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Solution

The fourth proportional to 544,495.76, 816,909.80 and 278,443.16 is: 417,749.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,495.76 : 816,909.80 = 278,443.16 : x
  2. Step 2: Convert to fraction form
    544,495.76/816,909.80 = 278,443.16/x
  3. Step 3: Cross multiply
    544,495.76x = 816,909.80 × 278,443.16
  4. Step 4: Simplify right side
    544,495.76x = 227,462,946,146.97
  5. Step 5: Solve for x
    x = 227,462,946,146.97/544,495.76
  6. Step 6: Final answer
    x = 417,749.71

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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.