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Finding the Fourth Proportional to 497,136.80, 744,830.40 and 407,907.20

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Solution

The fourth proportional to 497,136.80, 744,830.40 and 407,907.20 is: 611,143.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,136.80 : 744,830.40 = 407,907.20 : x
  2. Step 2: Convert to fraction form
    497,136.80/744,830.40 = 407,907.20/x
  3. Step 3: Cross multiply
    497,136.80x = 744,830.40 × 407,907.20
  4. Step 4: Simplify right side
    497,136.80x = 303,821,682,938.88
  5. Step 5: Solve for x
    x = 303,821,682,938.88/497,136.80
  6. Step 6: Final answer
    x = 611,143.02

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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.