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Finding the Fourth Proportional to 397,977.99, 549,219.47 and 216,699.84

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Solution

The fourth proportional to 397,977.99, 549,219.47 and 216,699.84 is: 299,051.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,977.99 : 549,219.47 = 216,699.84 : x
  2. Step 2: Convert to fraction form
    397,977.99/549,219.47 = 216,699.84/x
  3. Step 3: Cross multiply
    397,977.99x = 549,219.47 × 216,699.84
  4. Step 4: Simplify right side
    397,977.99x = 119,015,768,527.79
  5. Step 5: Solve for x
    x = 119,015,768,527.79/397,977.99
  6. Step 6: Final answer
    x = 299,051.13

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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.