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Finding the Fourth Proportional to 492,864.84, 680,259.60 and 311,461.56

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Solution

The fourth proportional to 492,864.84, 680,259.60 and 311,461.56 is: 429,884.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,864.84 : 680,259.60 = 311,461.56 : x
  2. Step 2: Convert to fraction form
    492,864.84/680,259.60 = 311,461.56/x
  3. Step 3: Cross multiply
    492,864.84x = 680,259.60 × 311,461.56
  4. Step 4: Simplify right side
    492,864.84x = 211,874,716,220.98
  5. Step 5: Solve for x
    x = 211,874,716,220.98/492,864.84
  6. Step 6: Final answer
    x = 429,884.01

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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.