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Finding the Fourth Proportional to 314,729.34, 434,331.63 and 171,495.42

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Solution

The fourth proportional to 314,729.34, 434,331.63 and 171,495.42 is: 236,666.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,729.34 : 434,331.63 = 171,495.42 : x
  2. Step 2: Convert to fraction form
    314,729.34/434,331.63 = 171,495.42/x
  3. Step 3: Cross multiply
    314,729.34x = 434,331.63 × 171,495.42
  4. Step 4: Simplify right side
    314,729.34x = 74,485,885,306.13
  5. Step 5: Solve for x
    x = 74,485,885,306.13/314,729.34
  6. Step 6: Final answer
    x = 236,666.48

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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.