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Finding the Fourth Proportional to 302,431.68, 453,675.78 and 89,199.80

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Solution

The fourth proportional to 302,431.68, 453,675.78 and 89,199.80 is: 133,808.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,431.68 : 453,675.78 = 89,199.80 : x
  2. Step 2: Convert to fraction form
    302,431.68/453,675.78 = 89,199.80/x
  3. Step 3: Cross multiply
    302,431.68x = 453,675.78 × 89,199.80
  4. Step 4: Simplify right side
    302,431.68x = 40,467,788,840.84
  5. Step 5: Solve for x
    x = 40,467,788,840.84/302,431.68
  6. Step 6: Final answer
    x = 133,808.04

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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.