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Finding the Fourth Proportional to 289,673.34, 399,748.68 and 162,348.90

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Solution

The fourth proportional to 289,673.34, 399,748.68 and 162,348.90 is: 224,041.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,673.34 : 399,748.68 = 162,348.90 : x
  2. Step 2: Convert to fraction form
    289,673.34/399,748.68 = 162,348.90/x
  3. Step 3: Cross multiply
    289,673.34x = 399,748.68 × 162,348.90
  4. Step 4: Simplify right side
    289,673.34x = 64,898,758,474.45
  5. Step 5: Solve for x
    x = 64,898,758,474.45/289,673.34
  6. Step 6: Final answer
    x = 224,041.19

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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.