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Finding the Fourth Proportional to 518,617, 778,056.78 and 144,640

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Solution

The fourth proportional to 518,617, 778,056.78 and 144,640 is: 216,996.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,617 : 778,056.78 = 144,640 : x
  2. Step 2: Convert to fraction form
    518,617/778,056.78 = 144,640/x
  3. Step 3: Cross multiply
    518,617x = 778,056.78 × 144,640
  4. Step 4: Simplify right side
    518,617x = 112,538,132,659.20
  5. Step 5: Solve for x
    x = 112,538,132,659.20/518,617
  6. Step 6: Final answer
    x = 216,996.61

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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.