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Finding the Fourth Proportional to 257,422.58, 354,849.41 and 180,726.51

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Solution

The fourth proportional to 257,422.58, 354,849.41 and 180,726.51 is: 249,126.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,422.58 : 354,849.41 = 180,726.51 : x
  2. Step 2: Convert to fraction form
    257,422.58/354,849.41 = 180,726.51/x
  3. Step 3: Cross multiply
    257,422.58x = 354,849.41 × 180,726.51
  4. Step 4: Simplify right side
    257,422.58x = 64,130,694,541.23
  5. Step 5: Solve for x
    x = 64,130,694,541.23/257,422.58
  6. Step 6: Final answer
    x = 249,126.15

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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.