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Finding the Fourth Proportional to 314,798.42, 434,409.18 and 171,555.44

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Solution

The fourth proportional to 314,798.42, 434,409.18 and 171,555.44 is: 236,739.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,798.42 : 434,409.18 = 171,555.44 : x
  2. Step 2: Convert to fraction form
    314,798.42/434,409.18 = 171,555.44/x
  3. Step 3: Cross multiply
    314,798.42x = 434,409.18 × 171,555.44
  4. Step 4: Simplify right side
    314,798.42x = 74,525,258,014.94
  5. Step 5: Solve for x
    x = 74,525,258,014.94/314,798.42
  6. Step 6: Final answer
    x = 236,739.62

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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.