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Finding the Fourth Proportional to 309,721.30, 464,483.53 and 210,518.98

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Solution

The fourth proportional to 309,721.30, 464,483.53 and 210,518.98 is: 315,711.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,721.30 : 464,483.53 = 210,518.98 : x
  2. Step 2: Convert to fraction form
    309,721.30/464,483.53 = 210,518.98/x
  3. Step 3: Cross multiply
    309,721.30x = 464,483.53 × 210,518.98
  4. Step 4: Simplify right side
    309,721.30x = 97,782,598,064.34
  5. Step 5: Solve for x
    x = 97,782,598,064.34/309,721.30
  6. Step 6: Final answer
    x = 315,711.57

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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.