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Finding the Fourth Proportional to 257,852.62, 355,842.75 and 144,683.74

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Solution

The fourth proportional to 257,852.62, 355,842.75 and 144,683.74 is: 199,667.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,852.62 : 355,842.75 = 144,683.74 : x
  2. Step 2: Convert to fraction form
    257,852.62/355,842.75 = 144,683.74/x
  3. Step 3: Cross multiply
    257,852.62x = 355,842.75 × 144,683.74
  4. Step 4: Simplify right side
    257,852.62x = 51,484,659,921.89
  5. Step 5: Solve for x
    x = 51,484,659,921.89/257,852.62
  6. Step 6: Final answer
    x = 199,667.00

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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.