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Finding the Fourth Proportional to 540,394.34, 745,782.78 and 298,671.72

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Solution

The fourth proportional to 540,394.34, 745,782.78 and 298,671.72 is: 412,188.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,394.34 : 745,782.78 = 298,671.72 : x
  2. Step 2: Convert to fraction form
    540,394.34/745,782.78 = 298,671.72/x
  3. Step 3: Cross multiply
    540,394.34x = 745,782.78 × 298,671.72
  4. Step 4: Simplify right side
    540,394.34x = 222,744,225,648.98
  5. Step 5: Solve for x
    x = 222,744,225,648.98/540,394.34
  6. Step 6: Final answer
    x = 412,188.30

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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.