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Finding the Fourth Proportional to 497,135.80, 744,828.90 and 407,906.20

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Solution

The fourth proportional to 497,135.80, 744,828.90 and 407,906.20 is: 611,141.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,135.80 : 744,828.90 = 407,906.20 : x
  2. Step 2: Convert to fraction form
    497,135.80/744,828.90 = 407,906.20/x
  3. Step 3: Cross multiply
    497,135.80x = 744,828.90 × 407,906.20
  4. Step 4: Simplify right side
    497,135.80x = 303,820,326,249.18
  5. Step 5: Solve for x
    x = 303,820,326,249.18/497,135.80
  6. Step 6: Final answer
    x = 611,141.52

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1.5x scale

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.