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Finding the Fourth Proportional to 342,854.40, 514,315.41 and 118,185.25

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Solution

The fourth proportional to 342,854.40, 514,315.41 and 118,185.25 is: 177,289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,854.40 : 514,315.41 = 118,185.25 : x
  2. Step 2: Convert to fraction form
    342,854.40/514,315.41 = 118,185.25/x
  3. Step 3: Cross multiply
    342,854.40x = 514,315.41 × 118,185.25
  4. Step 4: Simplify right side
    342,854.40x = 60,784,496,490.17
  5. Step 5: Solve for x
    x = 60,784,496,490.17/342,854.40
  6. Step 6: Final answer
    x = 177,289.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.