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Finding the Fourth Proportional to 474,955, 655,429.96 and 257,161.92

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Solution

The fourth proportional to 474,955, 655,429.96 and 257,161.92 is: 354,879.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,955 : 655,429.96 = 257,161.92 : x
  2. Step 2: Convert to fraction form
    474,955/655,429.96 = 257,161.92/x
  3. Step 3: Cross multiply
    474,955x = 655,429.96 × 257,161.92
  4. Step 4: Simplify right side
    474,955x = 168,551,626,939.12
  5. Step 5: Solve for x
    x = 168,551,626,939.12/474,955
  6. Step 6: Final answer
    x = 354,879.15

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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.