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Finding the Fourth Proportional to 314,705.36, 434,287.85 and 171,466.40

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Solution

The fourth proportional to 314,705.36, 434,287.85 and 171,466.40 is: 236,620.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,705.36 : 434,287.85 = 171,466.40 : x
  2. Step 2: Convert to fraction form
    314,705.36/434,287.85 = 171,466.40/x
  3. Step 3: Cross multiply
    314,705.36x = 434,287.85 × 171,466.40
  4. Step 4: Simplify right side
    314,705.36x = 74,465,771,174.47
  5. Step 5: Solve for x
    x = 74,465,771,174.47/314,705.36
  6. Step 6: Final answer
    x = 236,620.60

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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.