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Finding the Fourth Proportional to 257,442.90, 355,271.31 and 156,840.90

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Solution

The fourth proportional to 257,442.90, 355,271.31 and 156,840.90 is: 216,440.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,442.90 : 355,271.31 = 156,840.90 : x
  2. Step 2: Convert to fraction form
    257,442.90/355,271.31 = 156,840.90/x
  3. Step 3: Cross multiply
    257,442.90x = 355,271.31 × 156,840.90
  4. Step 4: Simplify right side
    257,442.90x = 55,721,072,004.58
  5. Step 5: Solve for x
    x = 55,721,072,004.58/257,442.90
  6. Step 6: Final answer
    x = 216,440.51

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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.