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Finding the Fourth Proportional to 274,572, 378,915.68 and 153,710.24

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Solution

The fourth proportional to 274,572, 378,915.68 and 153,710.24 is: 212,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,572 : 378,915.68 = 153,710.24 : x
  2. Step 2: Convert to fraction form
    274,572/378,915.68 = 153,710.24/x
  3. Step 3: Cross multiply
    274,572x = 378,915.68 × 153,710.24
  4. Step 4: Simplify right side
    274,572x = 58,243,220,112.56
  5. Step 5: Solve for x
    x = 58,243,220,112.56/274,572
  6. Step 6: Final answer
    x = 212,123.67

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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.