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Finding the Fourth Proportional to 518,978.49, 778,597.34 and 144,998.25

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Solution

The fourth proportional to 518,978.49, 778,597.34 and 144,998.25 is: 217,533.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,978.49 : 778,597.34 = 144,998.25 : x
  2. Step 2: Convert to fraction form
    518,978.49/778,597.34 = 144,998.25/x
  3. Step 3: Cross multiply
    518,978.49x = 778,597.34 × 144,998.25
  4. Step 4: Simplify right side
    518,978.49x = 112,895,251,029.66
  5. Step 5: Solve for x
    x = 112,895,251,029.66/518,978.49
  6. Step 6: Final answer
    x = 217,533.58

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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.