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Finding the Fourth Proportional to 399,382.60, 598,855.20 and 162,457.60

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Solution

The fourth proportional to 399,382.60, 598,855.20 and 162,457.60 is: 243,597.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,382.60 : 598,855.20 = 162,457.60 : x
  2. Step 2: Convert to fraction form
    399,382.60/598,855.20 = 162,457.60/x
  3. Step 3: Cross multiply
    399,382.60x = 598,855.20 × 162,457.60
  4. Step 4: Simplify right side
    399,382.60x = 97,288,578,539.52
  5. Step 5: Solve for x
    x = 97,288,578,539.52/399,382.60
  6. Step 6: Final answer
    x = 243,597.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.