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Finding the Fourth Proportional to 5,239,978.91, 7,859,968.37 and 1,453,461.78

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Solution

The fourth proportional to 5,239,978.91, 7,859,968.37 and 1,453,461.78 is: 2,180,192.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239,978.91 : 7,859,968.37 = 1,453,461.78 : x
  2. Step 2: Convert to fraction form
    5,239,978.91/7,859,968.37 = 1,453,461.78/x
  3. Step 3: Cross multiply
    5,239,978.91x = 7,859,968.37 × 1,453,461.78
  4. Step 4: Simplify right side
    5,239,978.91x = 11,424,163,617,803.90
  5. Step 5: Solve for x
    x = 11,424,163,617,803.90/5,239,978.91
  6. Step 6: Final answer
    x = 2,180,192.67

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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.