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Finding the Fourth Proportional to 557,890.44, 770,259.54 and 428,598.64

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Solution

The fourth proportional to 557,890.44, 770,259.54 and 428,598.64 is: 591,750.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,890.44 : 770,259.54 = 428,598.64 : x
  2. Step 2: Convert to fraction form
    557,890.44/770,259.54 = 428,598.64/x
  3. Step 3: Cross multiply
    557,890.44x = 770,259.54 × 428,598.64
  4. Step 4: Simplify right side
    557,890.44x = 330,132,191,291.03
  5. Step 5: Solve for x
    x = 330,132,191,291.03/557,890.44
  6. Step 6: Final answer
    x = 591,750.94

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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.