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Finding the Fourth Proportional to 398,133, 549,423.54 and 219,285

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Solution

The fourth proportional to 398,133, 549,423.54 and 219,285 is: 302,613.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,133 : 549,423.54 = 219,285 : x
  2. Step 2: Convert to fraction form
    398,133/549,423.54 = 219,285/x
  3. Step 3: Cross multiply
    398,133x = 549,423.54 × 219,285
  4. Step 4: Simplify right side
    398,133x = 120,480,340,968.90
  5. Step 5: Solve for x
    x = 120,480,340,968.90/398,133
  6. Step 6: Final answer
    x = 302,613.30

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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.