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Finding the Fourth Proportional to 257,480.46, 355,303.44 and 144,281.34

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Solution

The fourth proportional to 257,480.46, 355,303.44 and 144,281.34 is: 199,097.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,480.46 : 355,303.44 = 144,281.34 : x
  2. Step 2: Convert to fraction form
    257,480.46/355,303.44 = 144,281.34/x
  3. Step 3: Cross multiply
    257,480.46x = 355,303.44 × 144,281.34
  4. Step 4: Simplify right side
    257,480.46x = 51,263,656,429.81
  5. Step 5: Solve for x
    x = 51,263,656,429.81/257,480.46
  6. Step 6: Final answer
    x = 199,097.27

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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.