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Finding the Fourth Proportional to 257,228.92, 354,990.66 and 144,050.68

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Solution

The fourth proportional to 257,228.92, 354,990.66 and 144,050.68 is: 198,798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,228.92 : 354,990.66 = 144,050.68 : x
  2. Step 2: Convert to fraction form
    257,228.92/354,990.66 = 144,050.68/x
  3. Step 3: Cross multiply
    257,228.92x = 354,990.66 × 144,050.68
  4. Step 4: Simplify right side
    257,228.92x = 51,136,645,966.65
  5. Step 5: Solve for x
    x = 51,136,645,966.65/257,228.92
  6. Step 6: Final answer
    x = 198,798.20

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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.