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Finding the Fourth Proportional to 314,975.16, 434,656.26 and 171,738

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Solution

The fourth proportional to 314,975.16, 434,656.26 and 171,738 is: 236,993.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,975.16 : 434,656.26 = 171,738 : x
  2. Step 2: Convert to fraction form
    314,975.16/434,656.26 = 171,738/x
  3. Step 3: Cross multiply
    314,975.16x = 434,656.26 × 171,738
  4. Step 4: Simplify right side
    314,975.16x = 74,646,996,779.88
  5. Step 5: Solve for x
    x = 74,646,996,779.88/314,975.16
  6. Step 6: Final answer
    x = 236,993.28

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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.