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Finding the Fourth Proportional to 257,690.64, 355,707.50 and 155,719.94

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Solution

The fourth proportional to 257,690.64, 355,707.50 and 155,719.94 is: 214,950.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,690.64 : 355,707.50 = 155,719.94 : x
  2. Step 2: Convert to fraction form
    257,690.64/355,707.50 = 155,719.94/x
  3. Step 3: Cross multiply
    257,690.64x = 355,707.50 × 155,719.94
  4. Step 4: Simplify right side
    257,690.64x = 55,390,750,668.22
  5. Step 5: Solve for x
    x = 55,390,750,668.22/257,690.64
  6. Step 6: Final answer
    x = 214,950.57

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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.