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Finding the Fourth Proportional to 257,523.24, 355,398.48 and 144,346

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Solution

The fourth proportional to 257,523.24, 355,398.48 and 144,346 is: 199,206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,523.24 : 355,398.48 = 144,346 : x
  2. Step 2: Convert to fraction form
    257,523.24/355,398.48 = 144,346/x
  3. Step 3: Cross multiply
    257,523.24x = 355,398.48 × 144,346
  4. Step 4: Simplify right side
    257,523.24x = 51,300,348,994.08
  5. Step 5: Solve for x
    x = 51,300,348,994.08/257,523.24
  6. Step 6: Final answer
    x = 199,206.68

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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.