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Finding the Fourth Proportional to 398,176.50, 549,483.60 and 219,328.50

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Solution

The fourth proportional to 398,176.50, 549,483.60 and 219,328.50 is: 302,673.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,176.50 : 549,483.60 = 219,328.50 : x
  2. Step 2: Convert to fraction form
    398,176.50/549,483.60 = 219,328.50/x
  3. Step 3: Cross multiply
    398,176.50x = 549,483.60 × 219,328.50
  4. Step 4: Simplify right side
    398,176.50x = 120,517,413,762.60
  5. Step 5: Solve for x
    x = 120,517,413,762.60/398,176.50
  6. Step 6: Final answer
    x = 302,673.35

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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.