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Finding the Fourth Proportional to 557,499.48, 769,400.64 and 315,792.24

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Solution

The fourth proportional to 557,499.48, 769,400.64 and 315,792.24 is: 435,822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,499.48 : 769,400.64 = 315,792.24 : x
  2. Step 2: Convert to fraction form
    557,499.48/769,400.64 = 315,792.24/x
  3. Step 3: Cross multiply
    557,499.48x = 769,400.64 × 315,792.24
  4. Step 4: Simplify right side
    557,499.48x = 242,970,751,563.03
  5. Step 5: Solve for x
    x = 242,970,751,563.03/557,499.48
  6. Step 6: Final answer
    x = 435,822.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.