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Finding the Fourth Proportional to 259,653.57, 358,323 and 140,421.57

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Solution

The fourth proportional to 259,653.57, 358,323 and 140,421.57 is: 193,782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,653.57 : 358,323 = 140,421.57 : x
  2. Step 2: Convert to fraction form
    259,653.57/358,323 = 140,421.57/x
  3. Step 3: Cross multiply
    259,653.57x = 358,323 × 140,421.57
  4. Step 4: Simplify right side
    259,653.57x = 50,316,276,435.50
  5. Step 5: Solve for x
    x = 50,316,276,435.50/259,653.57
  6. Step 6: Final answer
    x = 193,782.34

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1.5x scale

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.