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Finding the Fourth Proportional to 492,717.60, 739,076.40 and 386,429.40

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Solution

The fourth proportional to 492,717.60, 739,076.40 and 386,429.40 is: 579,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,717.60 : 739,076.40 = 386,429.40 : x
  2. Step 2: Convert to fraction form
    492,717.60/739,076.40 = 386,429.40/x
  3. Step 3: Cross multiply
    492,717.60x = 739,076.40 × 386,429.40
  4. Step 4: Simplify right side
    492,717.60x = 285,600,849,806.16
  5. Step 5: Solve for x
    x = 285,600,849,806.16/492,717.60
  6. Step 6: Final answer
    x = 579,644.10

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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.