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Finding the Fourth Proportional to 257,492.04, 355,343.29 and 142,775.52

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Solution

The fourth proportional to 257,492.04, 355,343.29 and 142,775.52 is: 197,032.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,492.04 : 355,343.29 = 142,775.52 : x
  2. Step 2: Convert to fraction form
    257,492.04/355,343.29 = 142,775.52/x
  3. Step 3: Cross multiply
    257,492.04x = 355,343.29 × 142,775.52
  4. Step 4: Simplify right side
    257,492.04x = 50,734,324,419.63
  5. Step 5: Solve for x
    x = 50,734,324,419.63/257,492.04
  6. Step 6: Final answer
    x = 197,032.59

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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.