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Finding the Fourth Proportional to 256,470, 353,928.60 and 143,303.28

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Solution

The fourth proportional to 256,470, 353,928.60 and 143,303.28 is: 197,758.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,470 : 353,928.60 = 143,303.28 : x
  2. Step 2: Convert to fraction form
    256,470/353,928.60 = 143,303.28/x
  3. Step 3: Cross multiply
    256,470x = 353,928.60 × 143,303.28
  4. Step 4: Simplify right side
    256,470x = 50,719,129,265.81
  5. Step 5: Solve for x
    x = 50,719,129,265.81/256,470
  6. Step 6: Final answer
    x = 197,758.53

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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.