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Finding the Fourth Proportional to 306,653.72, 423,182.16 and 170,684.74

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Solution

The fourth proportional to 306,653.72, 423,182.16 and 170,684.74 is: 235,544.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,653.72 : 423,182.16 = 170,684.74 : x
  2. Step 2: Convert to fraction form
    306,653.72/423,182.16 = 170,684.74/x
  3. Step 3: Cross multiply
    306,653.72x = 423,182.16 × 170,684.74
  4. Step 4: Simplify right side
    306,653.72x = 72,230,738,010.19
  5. Step 5: Solve for x
    x = 72,230,738,010.19/306,653.72
  6. Step 6: Final answer
    x = 235,544.96

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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.