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Finding the Fourth Proportional to 257,890.40, 355,880.40 and 144,715.04

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Solution

The fourth proportional to 257,890.40, 355,880.40 and 144,715.04 is: 199,702.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,890.40 : 355,880.40 = 144,715.04 : x
  2. Step 2: Convert to fraction form
    257,890.40/355,880.40 = 144,715.04/x
  3. Step 3: Cross multiply
    257,890.40x = 355,880.40 × 144,715.04
  4. Step 4: Simplify right side
    257,890.40x = 51,501,246,321.22
  5. Step 5: Solve for x
    x = 51,501,246,321.22/257,890.40
  6. Step 6: Final answer
    x = 199,702.07

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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.