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Finding the Fourth Proportional to 315,189, 434,968.56 and 171,962.64

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Solution

The fourth proportional to 315,189, 434,968.56 and 171,962.64 is: 237,312.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,189 : 434,968.56 = 171,962.64 : x
  2. Step 2: Convert to fraction form
    315,189/434,968.56 = 171,962.64/x
  3. Step 3: Cross multiply
    315,189x = 434,968.56 × 171,962.64
  4. Step 4: Simplify right side
    315,189x = 74,798,341,894.60
  5. Step 5: Solve for x
    x = 74,798,341,894.60/315,189
  6. Step 6: Final answer
    x = 237,312.67

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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.