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Finding the Fourth Proportional to 527,926.88, 728,544.22 and 286,208.84

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Solution

The fourth proportional to 527,926.88, 728,544.22 and 286,208.84 is: 394,970.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,926.88 : 728,544.22 = 286,208.84 : x
  2. Step 2: Convert to fraction form
    527,926.88/728,544.22 = 286,208.84/x
  3. Step 3: Cross multiply
    527,926.88x = 728,544.22 × 286,208.84
  4. Step 4: Simplify right side
    527,926.88x = 208,515,796,094.91
  5. Step 5: Solve for x
    x = 208,515,796,094.91/527,926.88
  6. Step 6: Final answer
    x = 394,970.98

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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.