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Finding the Fourth Proportional to 257,349, 355,156.20 and 144,208.20

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Solution

The fourth proportional to 257,349, 355,156.20 and 144,208.20 is: 199,015.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,349 : 355,156.20 = 144,208.20 : x
  2. Step 2: Convert to fraction form
    257,349/355,156.20 = 144,208.20/x
  3. Step 3: Cross multiply
    257,349x = 355,156.20 × 144,208.20
  4. Step 4: Simplify right side
    257,349x = 51,216,436,320.84
  5. Step 5: Solve for x
    x = 51,216,436,320.84/257,349
  6. Step 6: Final answer
    x = 199,015.49

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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.