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Finding the Fourth Proportional to 257,460.68, 355,289.76 and 142,738.76

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Solution

The fourth proportional to 257,460.68, 355,289.76 and 142,738.76 is: 196,976.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,460.68 : 355,289.76 = 142,738.76 : x
  2. Step 2: Convert to fraction form
    257,460.68/355,289.76 = 142,738.76/x
  3. Step 3: Cross multiply
    257,460.68x = 355,289.76 × 142,738.76
  4. Step 4: Simplify right side
    257,460.68x = 50,713,619,783.10
  5. Step 5: Solve for x
    x = 50,713,619,783.10/257,460.68
  6. Step 6: Final answer
    x = 196,976.17

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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.