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Finding the Fourth Proportional to 642,151.28, 959,321.62 and 415,666.64

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Solution

The fourth proportional to 642,151.28, 959,321.62 and 415,666.64 is: 620,972.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,151.28 : 959,321.62 = 415,666.64 : x
  2. Step 2: Convert to fraction form
    642,151.28/959,321.62 = 415,666.64/x
  3. Step 3: Cross multiply
    642,151.28x = 959,321.62 × 415,666.64
  4. Step 4: Simplify right side
    642,151.28x = 398,757,994,464.76
  5. Step 5: Solve for x
    x = 398,757,994,464.76/642,151.28
  6. Step 6: Final answer
    x = 620,972.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.