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Finding the Fourth Proportional to 557,921.82, 770,302.86 and 428,630.02

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Solution

The fourth proportional to 557,921.82, 770,302.86 and 428,630.02 is: 591,794.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,921.82 : 770,302.86 = 428,630.02 : x
  2. Step 2: Convert to fraction form
    557,921.82/770,302.86 = 428,630.02/x
  3. Step 3: Cross multiply
    557,921.82x = 770,302.86 × 428,630.02
  4. Step 4: Simplify right side
    557,921.82x = 330,174,930,287.86
  5. Step 5: Solve for x
    x = 330,174,930,287.86/557,921.82
  6. Step 6: Final answer
    x = 591,794.26

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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.