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Finding the Fourth Proportional to 386,472.40, 541,430 and 386,472.40

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Solution

The fourth proportional to 386,472.40, 541,430 and 386,472.40 is: 541,430

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,472.40 : 541,430 = 386,472.40 : x
  2. Step 2: Convert to fraction form
    386,472.40/541,430 = 386,472.40/x
  3. Step 3: Cross multiply
    386,472.40x = 541,430 × 386,472.40
  4. Step 4: Simplify right side
    386,472.40x = 209,247,751,532
  5. Step 5: Solve for x
    x = 209,247,751,532/386,472.40
  6. Step 6: Final answer
    x = 541,430

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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.