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Finding the Fourth Proportional to 314,724.84, 434,325.24 and 171,484.88

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Solution

The fourth proportional to 314,724.84, 434,325.24 and 171,484.88 is: 236,651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,724.84 : 434,325.24 = 171,484.88 : x
  2. Step 2: Convert to fraction form
    314,724.84/434,325.24 = 171,484.88/x
  3. Step 3: Cross multiply
    314,724.84x = 434,325.24 × 171,484.88
  4. Step 4: Simplify right side
    314,724.84x = 74,480,211,662.37
  5. Step 5: Solve for x
    x = 74,480,211,662.37/314,724.84
  6. Step 6: Final answer
    x = 236,651.84

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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.