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Finding the Fourth Proportional to 259,457.67, 389,298.90 and 139,374.51

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Solution

The fourth proportional to 259,457.67, 389,298.90 and 139,374.51 is: 209,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,457.67 : 389,298.90 = 139,374.51 : x
  2. Step 2: Convert to fraction form
    259,457.67/389,298.90 = 139,374.51/x
  3. Step 3: Cross multiply
    259,457.67x = 389,298.90 × 139,374.51
  4. Step 4: Simplify right side
    259,457.67x = 54,258,343,431.04
  5. Step 5: Solve for x
    x = 54,258,343,431.04/259,457.67
  6. Step 6: Final answer
    x = 209,122.14

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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.