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Finding the Fourth Proportional to 261,144.86, 358,032.92 and 256,420.94

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Solution

The fourth proportional to 261,144.86, 358,032.92 and 256,420.94 is: 351,556.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,144.86 : 358,032.92 = 256,420.94 : x
  2. Step 2: Convert to fraction form
    261,144.86/358,032.92 = 256,420.94/x
  3. Step 3: Cross multiply
    261,144.86x = 358,032.92 × 256,420.94
  4. Step 4: Simplify right side
    261,144.86x = 91,807,134,825.08
  5. Step 5: Solve for x
    x = 91,807,134,825.08/261,144.86
  6. Step 6: Final answer
    x = 351,556.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.