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Finding the Fourth Proportional to 528,197.94, 728,929.68 and 298,750.77

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Solution

The fourth proportional to 528,197.94, 728,929.68 and 298,750.77 is: 412,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,197.94 : 728,929.68 = 298,750.77 : x
  2. Step 2: Convert to fraction form
    528,197.94/728,929.68 = 298,750.77/x
  3. Step 3: Cross multiply
    528,197.94x = 728,929.68 × 298,750.77
  4. Step 4: Simplify right side
    528,197.94x = 217,768,303,175.85
  5. Step 5: Solve for x
    x = 217,768,303,175.85/528,197.94
  6. Step 6: Final answer
    x = 412,285.41

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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.