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Finding the Fourth Proportional to 314,713.18, 434,298.72 and 171,474.40

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Solution

The fourth proportional to 314,713.18, 434,298.72 and 171,474.40 is: 236,631.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,713.18 : 434,298.72 = 171,474.40 : x
  2. Step 2: Convert to fraction form
    314,713.18/434,298.72 = 171,474.40/x
  3. Step 3: Cross multiply
    314,713.18x = 434,298.72 × 171,474.40
  4. Step 4: Simplify right side
    314,713.18x = 74,471,112,432.77
  5. Step 5: Solve for x
    x = 74,471,112,432.77/314,713.18
  6. Step 6: Final answer
    x = 236,631.69

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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.