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Finding the Fourth Proportional to 398,115, 549,390.49 and 216,830.12

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Solution

The fourth proportional to 398,115, 549,390.49 and 216,830.12 is: 299,221.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,115 : 549,390.49 = 216,830.12 : x
  2. Step 2: Convert to fraction form
    398,115/549,390.49 = 216,830.12/x
  3. Step 3: Cross multiply
    398,115x = 549,390.49 × 216,830.12
  4. Step 4: Simplify right side
    398,115x = 119,124,405,873.56
  5. Step 5: Solve for x
    x = 119,124,405,873.56/398,115
  6. Step 6: Final answer
    x = 299,221.09

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1.5x scale

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.