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Finding the Fourth Proportional to 398,052.79, 549,307.40 and 225,969.25

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Solution

The fourth proportional to 398,052.79, 549,307.40 and 225,969.25 is: 311,834.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,052.79 : 549,307.40 = 225,969.25 : x
  2. Step 2: Convert to fraction form
    398,052.79/549,307.40 = 225,969.25/x
  3. Step 3: Cross multiply
    398,052.79x = 549,307.40 × 225,969.25
  4. Step 4: Simplify right side
    398,052.79x = 124,126,580,067.60
  5. Step 5: Solve for x
    x = 124,126,580,067.60/398,052.79
  6. Step 6: Final answer
    x = 311,834.47

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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.