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Finding the Fourth Proportional to 314,742.42, 434,330.94 and 178,775.94

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Solution

The fourth proportional to 314,742.42, 434,330.94 and 178,775.94 is: 246,703.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,742.42 : 434,330.94 = 178,775.94 : x
  2. Step 2: Convert to fraction form
    314,742.42/434,330.94 = 178,775.94/x
  3. Step 3: Cross multiply
    314,742.42x = 434,330.94 × 178,775.94
  4. Step 4: Simplify right side
    314,742.42x = 77,647,922,069.58
  5. Step 5: Solve for x
    x = 77,647,922,069.58/314,742.42
  6. Step 6: Final answer
    x = 246,703.07

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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.