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Finding the Fourth Proportional to 257,798.69, 355,764.62 and 144,623.87

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Solution

The fourth proportional to 257,798.69, 355,764.62 and 144,623.87 is: 199,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,798.69 : 355,764.62 = 144,623.87 : x
  2. Step 2: Convert to fraction form
    257,798.69/355,764.62 = 144,623.87/x
  3. Step 3: Cross multiply
    257,798.69x = 355,764.62 × 144,623.87
  4. Step 4: Simplify right side
    257,798.69x = 51,452,056,153.48
  5. Step 5: Solve for x
    x = 51,452,056,153.48/257,798.69
  6. Step 6: Final answer
    x = 199,582.30

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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.