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Finding the Fourth Proportional to 499,410.59, 750,739.79 and 400,651.20

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Solution

The fourth proportional to 499,410.59, 750,739.79 and 400,651.20 is: 602,279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,410.59 : 750,739.79 = 400,651.20 : x
  2. Step 2: Convert to fraction form
    499,410.59/750,739.79 = 400,651.20/x
  3. Step 3: Cross multiply
    499,410.59x = 750,739.79 × 400,651.20
  4. Step 4: Simplify right side
    499,410.59x = 300,784,798,752.88
  5. Step 5: Solve for x
    x = 300,784,798,752.88/499,410.59
  6. Step 6: Final answer
    x = 602,279.58

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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.