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Finding the Fourth Proportional to 257,947, 355,966.86 and 144,769.75

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Solution

The fourth proportional to 257,947, 355,966.86 and 144,769.75 is: 199,782.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,947 : 355,966.86 = 144,769.75 : x
  2. Step 2: Convert to fraction form
    257,947/355,966.86 = 144,769.75/x
  3. Step 3: Cross multiply
    257,947x = 355,966.86 × 144,769.75
  4. Step 4: Simplify right side
    257,947x = 51,533,233,330.49
  5. Step 5: Solve for x
    x = 51,533,233,330.49/257,947
  6. Step 6: Final answer
    x = 199,782.26

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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.