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Finding the Fourth Proportional to 518,564, 777,977.22 and 144,587

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Solution

The fourth proportional to 518,564, 777,977.22 and 144,587 is: 216,917.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,564 : 777,977.22 = 144,587 : x
  2. Step 2: Convert to fraction form
    518,564/777,977.22 = 144,587/x
  3. Step 3: Cross multiply
    518,564x = 777,977.22 × 144,587
  4. Step 4: Simplify right side
    518,564x = 112,485,392,308.14
  5. Step 5: Solve for x
    x = 112,485,392,308.14/518,564
  6. Step 6: Final answer
    x = 216,917.09

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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.