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Finding the Fourth Proportional to 398,269.02, 549,611.01 and 219,421.02

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Solution

The fourth proportional to 398,269.02, 549,611.01 and 219,421.02 is: 302,800.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,269.02 : 549,611.01 = 219,421.02 : x
  2. Step 2: Convert to fraction form
    398,269.02/549,611.01 = 219,421.02/x
  3. Step 3: Cross multiply
    398,269.02x = 549,611.01 × 219,421.02
  4. Step 4: Simplify right side
    398,269.02x = 120,596,208,417.43
  5. Step 5: Solve for x
    x = 120,596,208,417.43/398,269.02
  6. Step 6: Final answer
    x = 302,800.88

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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.