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Finding the Fourth Proportional to 492,465.52, 679,561.60 and 277,658.40

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Solution

The fourth proportional to 492,465.52, 679,561.60 and 277,658.40 is: 383,145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,465.52 : 679,561.60 = 277,658.40 : x
  2. Step 2: Convert to fraction form
    492,465.52/679,561.60 = 277,658.40/x
  3. Step 3: Cross multiply
    492,465.52x = 679,561.60 × 277,658.40
  4. Step 4: Simplify right side
    492,465.52x = 188,685,986,557.44
  5. Step 5: Solve for x
    x = 188,685,986,557.44/492,465.52
  6. Step 6: Final answer
    x = 383,145.58

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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.