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Finding the Fourth Proportional to 314,883.16, 434,530.12 and 171,646

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Solution

The fourth proportional to 314,883.16, 434,530.12 and 171,646 is: 236,866.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,883.16 : 434,530.12 = 171,646 : x
  2. Step 2: Convert to fraction form
    314,883.16/434,530.12 = 171,646/x
  3. Step 3: Cross multiply
    314,883.16x = 434,530.12 × 171,646
  4. Step 4: Simplify right side
    314,883.16x = 74,585,356,977.52
  5. Step 5: Solve for x
    x = 74,585,356,977.52/314,883.16
  6. Step 6: Final answer
    x = 236,866.77

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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.