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Finding the Fourth Proportional to 256,509.33, 353,981.79 and 143,332.08

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Solution

The fourth proportional to 256,509.33, 353,981.79 and 143,332.08 is: 197,797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,509.33 : 353,981.79 = 143,332.08 : x
  2. Step 2: Convert to fraction form
    256,509.33/353,981.79 = 143,332.08/x
  3. Step 3: Cross multiply
    256,509.33x = 353,981.79 × 143,332.08
  4. Step 4: Simplify right side
    256,509.33x = 50,736,946,242.82
  5. Step 5: Solve for x
    x = 50,736,946,242.82/256,509.33
  6. Step 6: Final answer
    x = 197,797.66

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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.