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Finding the Fourth Proportional to 305,598.68, 458,491.87 and 145,878.43

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Solution

The fourth proportional to 305,598.68, 458,491.87 and 145,878.43 is: 218,862.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,598.68 : 458,491.87 = 145,878.43 : x
  2. Step 2: Convert to fraction form
    305,598.68/458,491.87 = 145,878.43/x
  3. Step 3: Cross multiply
    305,598.68x = 458,491.87 × 145,878.43
  4. Step 4: Simplify right side
    305,598.68x = 66,884,071,870.90
  5. Step 5: Solve for x
    x = 66,884,071,870.90/305,598.68
  6. Step 6: Final answer
    x = 218,862.44

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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.