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Finding the Fourth Proportional to 398,271.02, 549,613.77 and 219,423.02

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Solution

The fourth proportional to 398,271.02, 549,613.77 and 219,423.02 is: 302,803.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,271.02 : 549,613.77 = 219,423.02 : x
  2. Step 2: Convert to fraction form
    398,271.02/549,613.77 = 219,423.02/x
  3. Step 3: Cross multiply
    398,271.02x = 549,613.77 × 219,423.02
  4. Step 4: Simplify right side
    398,271.02x = 120,597,913,246.99
  5. Step 5: Solve for x
    x = 120,597,913,246.99/398,271.02
  6. Step 6: Final answer
    x = 302,803.64

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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.