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Finding the Fourth Proportional to 540,409, 745,377.64 and 379,300

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Solution

The fourth proportional to 540,409, 745,377.64 and 379,300 is: 523,162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,409 : 745,377.64 = 379,300 : x
  2. Step 2: Convert to fraction form
    540,409/745,377.64 = 379,300/x
  3. Step 3: Cross multiply
    540,409x = 745,377.64 × 379,300
  4. Step 4: Simplify right side
    540,409x = 282,721,738,852
  5. Step 5: Solve for x
    x = 282,721,738,852/540,409
  6. Step 6: Final answer
    x = 523,162.53

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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.