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Finding the Fourth Proportional to 397,858.14, 549,051.24 and 216,575.28

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Solution

The fourth proportional to 397,858.14, 549,051.24 and 216,575.28 is: 298,877.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,858.14 : 549,051.24 = 216,575.28 : x
  2. Step 2: Convert to fraction form
    397,858.14/549,051.24 = 216,575.28/x
  3. Step 3: Cross multiply
    397,858.14x = 549,051.24 × 216,575.28
  4. Step 4: Simplify right side
    397,858.14x = 118,910,926,037.35
  5. Step 5: Solve for x
    x = 118,910,926,037.35/397,858.14
  6. Step 6: Final answer
    x = 298,877.70

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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.