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Finding the Fourth Proportional to 305,652.66, 458,457.30 and 81,008.10

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Solution

The fourth proportional to 305,652.66, 458,457.30 and 81,008.10 is: 121,506.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,652.66 : 458,457.30 = 81,008.10 : x
  2. Step 2: Convert to fraction form
    305,652.66/458,457.30 = 81,008.10/x
  3. Step 3: Cross multiply
    305,652.66x = 458,457.30 × 81,008.10
  4. Step 4: Simplify right side
    305,652.66x = 37,138,754,804.13
  5. Step 5: Solve for x
    x = 37,138,754,804.13/305,652.66
  6. Step 6: Final answer
    x = 121,506.40

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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.