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Finding the Fourth Proportional to 474,903.42, 655,367.80 and 257,114.40

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Solution

The fourth proportional to 474,903.42, 655,367.80 and 257,114.40 is: 354,818.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,903.42 : 655,367.80 = 257,114.40 : x
  2. Step 2: Convert to fraction form
    474,903.42/655,367.80 = 257,114.40/x
  3. Step 3: Cross multiply
    474,903.42x = 655,367.80 × 257,114.40
  4. Step 4: Simplify right side
    474,903.42x = 168,504,498,676.32
  5. Step 5: Solve for x
    x = 168,504,498,676.32/474,903.42
  6. Step 6: Final answer
    x = 354,818.46

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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.