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Finding the Fourth Proportional to 314,771.50, 434,384.00 and 171,531.20

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Solution

The fourth proportional to 314,771.50, 434,384.00 and 171,531.20 is: 236,712.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,771.50 : 434,384.00 = 171,531.20 : x
  2. Step 2: Convert to fraction form
    314,771.50/434,384.00 = 171,531.20/x
  3. Step 3: Cross multiply
    314,771.50x = 434,384.00 × 171,531.20
  4. Step 4: Simplify right side
    314,771.50x = 74,510,409,652.35
  5. Step 5: Solve for x
    x = 74,510,409,652.35/314,771.50
  6. Step 6: Final answer
    x = 236,712.69

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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.