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Finding the Fourth Proportional to 407,978.88, 562,776.31 and 254,751.08

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Solution

The fourth proportional to 407,978.88, 562,776.31 and 254,751.08 is: 351,410.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,978.88 : 562,776.31 = 254,751.08 : x
  2. Step 2: Convert to fraction form
    407,978.88/562,776.31 = 254,751.08/x
  3. Step 3: Cross multiply
    407,978.88x = 562,776.31 × 254,751.08
  4. Step 4: Simplify right side
    407,978.88x = 143,367,868,842.50
  5. Step 5: Solve for x
    x = 143,367,868,842.50/407,978.88
  6. Step 6: Final answer
    x = 351,410.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.