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Finding the Fourth Proportional to 314,645.93, 434,207.46 and 171,402.90

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Solution

The fourth proportional to 314,645.93, 434,207.46 and 171,402.90 is: 236,533.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,645.93 : 434,207.46 = 171,402.90 : x
  2. Step 2: Convert to fraction form
    314,645.93/434,207.46 = 171,402.90/x
  3. Step 3: Cross multiply
    314,645.93x = 434,207.46 × 171,402.90
  4. Step 4: Simplify right side
    314,645.93x = 74,424,416,860.12
  5. Step 5: Solve for x
    x = 74,424,416,860.12/314,645.93
  6. Step 6: Final answer
    x = 236,533.86

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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.