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Finding the Fourth Proportional to 557,336.60, 769,171.93 and 315,662.16

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Solution

The fourth proportional to 557,336.60, 769,171.93 and 315,662.16 is: 435,640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,336.60 : 769,171.93 = 315,662.16 : x
  2. Step 2: Convert to fraction form
    557,336.60/769,171.93 = 315,662.16/x
  3. Step 3: Cross multiply
    557,336.60x = 769,171.93 × 315,662.16
  4. Step 4: Simplify right side
    557,336.60x = 242,798,472,835.17
  5. Step 5: Solve for x
    x = 242,798,472,835.17/557,336.60
  6. Step 6: Final answer
    x = 435,640.64

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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.