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Finding the Fourth Proportional to 289,595.82, 399,658.23 and 162,312.30

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Solution

The fourth proportional to 289,595.82, 399,658.23 and 162,312.30 is: 223,999.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,595.82 : 399,658.23 = 162,312.30 : x
  2. Step 2: Convert to fraction form
    289,595.82/399,658.23 = 162,312.30/x
  3. Step 3: Cross multiply
    289,595.82x = 399,658.23 × 162,312.30
  4. Step 4: Simplify right side
    289,595.82x = 64,869,446,525.23
  5. Step 5: Solve for x
    x = 64,869,446,525.23/289,595.82
  6. Step 6: Final answer
    x = 223,999.94

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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.