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Finding the Fourth Proportional to 386,457.40, 541,409 and 386,457.40

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Solution

The fourth proportional to 386,457.40, 541,409 and 386,457.40 is: 541,409

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,457.40 : 541,409 = 386,457.40 : x
  2. Step 2: Convert to fraction form
    386,457.40/541,409 = 386,457.40/x
  3. Step 3: Cross multiply
    386,457.40x = 541,409 × 386,457.40
  4. Step 4: Simplify right side
    386,457.40x = 209,231,514,476.60
  5. Step 5: Solve for x
    x = 209,231,514,476.60/386,457.40
  6. Step 6: Final answer
    x = 541,409

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.