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Finding the Fourth Proportional to 343,956.20, 514,913.70 and 255,601.40

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Solution

The fourth proportional to 343,956.20, 514,913.70 and 255,601.40 is: 382,643.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,956.20 : 514,913.70 = 255,601.40 : x
  2. Step 2: Convert to fraction form
    343,956.20/514,913.70 = 255,601.40/x
  3. Step 3: Cross multiply
    343,956.20x = 514,913.70 × 255,601.40
  4. Step 4: Simplify right side
    343,956.20x = 131,612,662,599.18
  5. Step 5: Solve for x
    x = 131,612,662,599.18/343,956.20
  6. Step 6: Final answer
    x = 382,643.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.