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Finding the Fourth Proportional to 557,889.44, 770,258.16 and 428,597.64

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Solution

The fourth proportional to 557,889.44, 770,258.16 and 428,597.64 is: 591,749.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,889.44 : 770,258.16 = 428,597.64 : x
  2. Step 2: Convert to fraction form
    557,889.44/770,258.16 = 428,597.64/x
  3. Step 3: Cross multiply
    557,889.44x = 770,258.16 × 428,597.64
  4. Step 4: Simplify right side
    557,889.44x = 330,130,829,566.74
  5. Step 5: Solve for x
    x = 330,130,829,566.74/557,889.44
  6. Step 6: Final answer
    x = 591,749.56

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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.