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Finding the Fourth Proportional to 289,779.21, 399,914.51 and 162,463.05

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Solution

The fourth proportional to 289,779.21, 399,914.51 and 162,463.05 is: 224,209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,779.21 : 399,914.51 = 162,463.05 : x
  2. Step 2: Convert to fraction form
    289,779.21/399,914.51 = 162,463.05/x
  3. Step 3: Cross multiply
    289,779.21x = 399,914.51 × 162,463.05
  4. Step 4: Simplify right side
    289,779.21x = 64,971,330,221.54
  5. Step 5: Solve for x
    x = 64,971,330,221.54/289,779.21
  6. Step 6: Final answer
    x = 224,209.77

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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.