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Finding the Fourth Proportional to 321,457.62, 443,303.78 and 192,374.13

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Solution

The fourth proportional to 321,457.62, 443,303.78 and 192,374.13 is: 265,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,457.62 : 443,303.78 = 192,374.13 : x
  2. Step 2: Convert to fraction form
    321,457.62/443,303.78 = 192,374.13/x
  3. Step 3: Cross multiply
    321,457.62x = 443,303.78 × 192,374.13
  4. Step 4: Simplify right side
    321,457.62x = 85,280,178,041.34
  5. Step 5: Solve for x
    x = 85,280,178,041.34/321,457.62
  6. Step 6: Final answer
    x = 265,292.13

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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.