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Finding the Fourth Proportional to 492,772.80, 739,159.20 and 405,292.80

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Solution

The fourth proportional to 492,772.80, 739,159.20 and 405,292.80 is: 607,939.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,772.80 : 739,159.20 = 405,292.80 : x
  2. Step 2: Convert to fraction form
    492,772.80/739,159.20 = 405,292.80/x
  3. Step 3: Cross multiply
    492,772.80x = 739,159.20 × 405,292.80
  4. Step 4: Simplify right side
    492,772.80x = 299,575,901,813.76
  5. Step 5: Solve for x
    x = 299,575,901,813.76/492,772.80
  6. Step 6: Final answer
    x = 607,939.20

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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.