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Finding the Fourth Proportional to 309,907.80, 464,861.70 and 215,429.40

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Solution

The fourth proportional to 309,907.80, 464,861.70 and 215,429.40 is: 323,144.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,907.80 : 464,861.70 = 215,429.40 : x
  2. Step 2: Convert to fraction form
    309,907.80/464,861.70 = 215,429.40/x
  3. Step 3: Cross multiply
    309,907.80x = 464,861.70 × 215,429.40
  4. Step 4: Simplify right side
    309,907.80x = 100,144,877,113.98
  5. Step 5: Solve for x
    x = 100,144,877,113.98/309,907.80
  6. Step 6: Final answer
    x = 323,144.10

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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.