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Finding the Fourth Proportional to 314,477.84, 433,979.13 and 171,238.91

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Solution

The fourth proportional to 314,477.84, 433,979.13 and 171,238.91 is: 236,309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,477.84 : 433,979.13 = 171,238.91 : x
  2. Step 2: Convert to fraction form
    314,477.84/433,979.13 = 171,238.91/x
  3. Step 3: Cross multiply
    314,477.84x = 433,979.13 × 171,238.91
  4. Step 4: Simplify right side
    314,477.84x = 74,314,113,183.95
  5. Step 5: Solve for x
    x = 74,314,113,183.95/314,477.84
  6. Step 6: Final answer
    x = 236,309.54

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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.