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Finding the Fourth Proportional to 540,394.26, 745,357.32 and 379,285.26

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Solution

The fourth proportional to 540,394.26, 745,357.32 and 379,285.26 is: 523,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,394.26 : 745,357.32 = 379,285.26 : x
  2. Step 2: Convert to fraction form
    540,394.26/745,357.32 = 379,285.26/x
  3. Step 3: Cross multiply
    540,394.26x = 745,357.32 × 379,285.26
  4. Step 4: Simplify right side
    540,394.26x = 282,703,044,909.10
  5. Step 5: Solve for x
    x = 282,703,044,909.10/540,394.26
  6. Step 6: Final answer
    x = 523,142.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.