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Finding the Fourth Proportional to 289,368.72, 399,317.63 and 162,037.80

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Solution

The fourth proportional to 289,368.72, 399,317.63 and 162,037.80 is: 223,605.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,368.72 : 399,317.63 = 162,037.80 : x
  2. Step 2: Convert to fraction form
    289,368.72/399,317.63 = 162,037.80/x
  3. Step 3: Cross multiply
    289,368.72x = 399,317.63 × 162,037.80
  4. Step 4: Simplify right side
    289,368.72x = 64,704,550,266.41
  5. Step 5: Solve for x
    x = 64,704,550,266.41/289,368.72
  6. Step 6: Final answer
    x = 223,605.89

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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.