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Finding the Fourth Proportional to 314,733.74, 434,202.53 and 219,295.78

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Solution

The fourth proportional to 314,733.74, 434,202.53 and 219,295.78 is: 302,537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,733.74 : 434,202.53 = 219,295.78 : x
  2. Step 2: Convert to fraction form
    314,733.74/434,202.53 = 219,295.78/x
  3. Step 3: Cross multiply
    314,733.74x = 434,202.53 × 219,295.78
  4. Step 4: Simplify right side
    314,733.74x = 95,218,780,312.34
  5. Step 5: Solve for x
    x = 95,218,780,312.34/314,733.74
  6. Step 6: Final answer
    x = 302,537.57

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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.