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Finding the Fourth Proportional to 492,011.64, 678,717.42 and 310,658.04

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Solution

The fourth proportional to 492,011.64, 678,717.42 and 310,658.04 is: 428,544.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,011.64 : 678,717.42 = 310,658.04 : x
  2. Step 2: Convert to fraction form
    492,011.64/678,717.42 = 310,658.04/x
  3. Step 3: Cross multiply
    492,011.64x = 678,717.42 × 310,658.04
  4. Step 4: Simplify right side
    492,011.64x = 210,849,023,411.06
  5. Step 5: Solve for x
    x = 210,849,023,411.06/492,011.64
  6. Step 6: Final answer
    x = 428,544.79

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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.