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Finding the Fourth Proportional to 397,995.90, 549,206.62 and 225,917.34

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Solution

The fourth proportional to 397,995.90, 549,206.62 and 225,917.34 is: 311,750.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,995.90 : 549,206.62 = 225,917.34 : x
  2. Step 2: Convert to fraction form
    397,995.90/549,206.62 = 225,917.34/x
  3. Step 3: Cross multiply
    397,995.90x = 549,206.62 × 225,917.34
  4. Step 4: Simplify right side
    397,995.90x = 124,075,298,700.79
  5. Step 5: Solve for x
    x = 124,075,298,700.79/397,995.90
  6. Step 6: Final answer
    x = 311,750.19

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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.