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Finding the Fourth Proportional to 257,980.62, 355,993.74 and 144,781.50

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Solution

The fourth proportional to 257,980.62, 355,993.74 and 144,781.50 is: 199,787.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,980.62 : 355,993.74 = 144,781.50 : x
  2. Step 2: Convert to fraction form
    257,980.62/355,993.74 = 144,781.50/x
  3. Step 3: Cross multiply
    257,980.62x = 355,993.74 × 144,781.50
  4. Step 4: Simplify right side
    257,980.62x = 51,541,307,667.81
  5. Step 5: Solve for x
    x = 51,541,307,667.81/257,980.62
  6. Step 6: Final answer
    x = 199,787.52

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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.