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Finding the Fourth Proportional to 228,978.02, 315,624.53 and 180,500.90

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Solution

The fourth proportional to 228,978.02, 315,624.53 and 180,500.90 is: 248,803.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,978.02 : 315,624.53 = 180,500.90 : x
  2. Step 2: Convert to fraction form
    228,978.02/315,624.53 = 180,500.90/x
  3. Step 3: Cross multiply
    228,978.02x = 315,624.53 × 180,500.90
  4. Step 4: Simplify right side
    228,978.02x = 56,970,509,246.45
  5. Step 5: Solve for x
    x = 56,970,509,246.45/228,978.02
  6. Step 6: Final answer
    x = 248,803.40

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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.