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Finding the Fourth Proportional to 527,603.09, 728,049.13 and 298,180.04

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Solution

The fourth proportional to 527,603.09, 728,049.13 and 298,180.04 is: 411,464.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,603.09 : 728,049.13 = 298,180.04 : x
  2. Step 2: Convert to fraction form
    527,603.09/728,049.13 = 298,180.04/x
  3. Step 3: Cross multiply
    527,603.09x = 728,049.13 × 298,180.04
  4. Step 4: Simplify right side
    527,603.09x = 217,089,714,319.67
  5. Step 5: Solve for x
    x = 217,089,714,319.67/527,603.09
  6. Step 6: Final answer
    x = 411,464.07

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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.