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Finding the Fourth Proportional to 312,217.50, 430,860.15 and 178,081.50

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Solution

The fourth proportional to 312,217.50, 430,860.15 and 178,081.50 is: 245,752.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,217.50 : 430,860.15 = 178,081.50 : x
  2. Step 2: Convert to fraction form
    312,217.50/430,860.15 = 178,081.50/x
  3. Step 3: Cross multiply
    312,217.50x = 430,860.15 × 178,081.50
  4. Step 4: Simplify right side
    312,217.50x = 76,728,221,802.23
  5. Step 5: Solve for x
    x = 76,728,221,802.23/312,217.50
  6. Step 6: Final answer
    x = 245,752.47

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1.5x scale

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.