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Finding the Fourth Proportional to 257,907.38, 355,937.74 and 144,730.58

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Solution

The fourth proportional to 257,907.38, 355,937.74 and 144,730.58 is: 199,742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,907.38 : 355,937.74 = 144,730.58 : x
  2. Step 2: Convert to fraction form
    257,907.38/355,937.74 = 144,730.58/x
  3. Step 3: Cross multiply
    257,907.38x = 355,937.74 × 144,730.58
  4. Step 4: Simplify right side
    257,907.38x = 51,515,075,554.09
  5. Step 5: Solve for x
    x = 51,515,075,554.09/257,907.38
  6. Step 6: Final answer
    x = 199,742.54

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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.