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Finding the Fourth Proportional to 314,643.45, 434,205.71 and 171,403.46

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Solution

The fourth proportional to 314,643.45, 434,205.71 and 171,403.46 is: 236,535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,643.45 : 434,205.71 = 171,403.46 : x
  2. Step 2: Convert to fraction form
    314,643.45/434,205.71 = 171,403.46/x
  3. Step 3: Cross multiply
    314,643.45x = 434,205.71 × 171,403.46
  4. Step 4: Simplify right side
    314,643.45x = 74,424,358,874.73
  5. Step 5: Solve for x
    x = 74,424,358,874.73/314,643.45
  6. Step 6: Final answer
    x = 236,535.54

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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.