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Finding the Fourth Proportional to 492,865.84, 680,260.98 and 311,462.56

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Solution

The fourth proportional to 492,865.84, 680,260.98 and 311,462.56 is: 429,885.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,865.84 : 680,260.98 = 311,462.56 : x
  2. Step 2: Convert to fraction form
    492,865.84/680,260.98 = 311,462.56/x
  3. Step 3: Cross multiply
    492,865.84x = 680,260.98 × 311,462.56
  4. Step 4: Simplify right side
    492,865.84x = 211,875,826,298.91
  5. Step 5: Solve for x
    x = 211,875,826,298.91/492,865.84
  6. Step 6: Final answer
    x = 429,885.39

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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.