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Finding the Fourth Proportional to 403,648, 556,106.88 and 318,734.08

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Solution

The fourth proportional to 403,648, 556,106.88 and 318,734.08 is: 439,120.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,648 : 556,106.88 = 318,734.08 : x
  2. Step 2: Convert to fraction form
    403,648/556,106.88 = 318,734.08/x
  3. Step 3: Cross multiply
    403,648x = 556,106.88 × 318,734.08
  4. Step 4: Simplify right side
    403,648x = 177,250,214,778.47
  5. Step 5: Solve for x
    x = 177,250,214,778.47/403,648
  6. Step 6: Final answer
    x = 439,120.76

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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.