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Finding the Fourth Proportional to 257,953.50, 355,975.82 and 144,776.25

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Solution

The fourth proportional to 257,953.50, 355,975.82 and 144,776.25 is: 199,791.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,953.50 : 355,975.82 = 144,776.25 : x
  2. Step 2: Convert to fraction form
    257,953.50/355,975.82 = 144,776.25/x
  3. Step 3: Cross multiply
    257,953.50x = 355,975.82 × 144,776.25
  4. Step 4: Simplify right side
    257,953.50x = 51,536,841,806.51
  5. Step 5: Solve for x
    x = 51,536,841,806.51/257,953.50
  6. Step 6: Final answer
    x = 199,791.21

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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.