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Finding the Fourth Proportional to 292,709.70, 438,539.67 and 276,963.30

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Solution

The fourth proportional to 292,709.70, 438,539.67 and 276,963.30 is: 414,948.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,709.70 : 438,539.67 = 276,963.30 : x
  2. Step 2: Convert to fraction form
    292,709.70/438,539.67 = 276,963.30/x
  3. Step 3: Cross multiply
    292,709.70x = 438,539.67 × 276,963.30
  4. Step 4: Simplify right side
    292,709.70x = 121,459,394,184.11
  5. Step 5: Solve for x
    x = 121,459,394,184.11/292,709.70
  6. Step 6: Final answer
    x = 414,948.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.