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Finding the Fourth Proportional to 474,949.51, 655,422.40 and 257,156.41

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Solution

The fourth proportional to 474,949.51, 655,422.40 and 257,156.41 is: 354,871.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,949.51 : 655,422.40 = 257,156.41 : x
  2. Step 2: Convert to fraction form
    474,949.51/655,422.40 = 257,156.41/x
  3. Step 3: Cross multiply
    474,949.51x = 655,422.40 × 257,156.41
  4. Step 4: Simplify right side
    474,949.51x = 168,546,071,417.58
  5. Step 5: Solve for x
    x = 168,546,071,417.58/474,949.51
  6. Step 6: Final answer
    x = 354,871.56

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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.