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Finding the Fourth Proportional to 314,656.79, 434,225.61 and 171,418.01

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Solution

The fourth proportional to 314,656.79, 434,225.61 and 171,418.01 is: 236,556.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,656.79 : 434,225.61 = 171,418.01 : x
  2. Step 2: Convert to fraction form
    314,656.79/434,225.61 = 171,418.01/x
  3. Step 3: Cross multiply
    314,656.79x = 434,225.61 × 171,418.01
  4. Step 4: Simplify right side
    314,656.79x = 74,434,087,786.11
  5. Step 5: Solve for x
    x = 74,434,087,786.11/314,656.79
  6. Step 6: Final answer
    x = 236,556.44

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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.