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Finding the Fourth Proportional to 345,709.40, 518,564.10 and 308,967.80

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Solution

The fourth proportional to 345,709.40, 518,564.10 and 308,967.80 is: 463,451.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,709.40 : 518,564.10 = 308,967.80 : x
  2. Step 2: Convert to fraction form
    345,709.40/518,564.10 = 308,967.80/x
  3. Step 3: Cross multiply
    345,709.40x = 518,564.10 × 308,967.80
  4. Step 4: Simplify right side
    345,709.40x = 160,219,609,135.98
  5. Step 5: Solve for x
    x = 160,219,609,135.98/345,709.40
  6. Step 6: Final answer
    x = 463,451.70

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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.