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Finding the Fourth Proportional to 527,978.14, 728,566.30 and 298,558.88

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Solution

The fourth proportional to 527,978.14, 728,566.30 and 298,558.88 is: 411,986.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,978.14 : 728,566.30 = 298,558.88 : x
  2. Step 2: Convert to fraction form
    527,978.14/728,566.30 = 298,558.88/x
  3. Step 3: Cross multiply
    527,978.14x = 728,566.30 × 298,558.88
  4. Step 4: Simplify right side
    527,978.14x = 217,519,938,533.74
  5. Step 5: Solve for x
    x = 217,519,938,533.74/527,978.14
  6. Step 6: Final answer
    x = 411,986.64

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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.