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Finding the Fourth Proportional to 309,875.64, 464,736.93 and 85,225.20

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Solution

The fourth proportional to 309,875.64, 464,736.93 and 85,225.20 is: 127,816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,875.64 : 464,736.93 = 85,225.20 : x
  2. Step 2: Convert to fraction form
    309,875.64/464,736.93 = 85,225.20/x
  3. Step 3: Cross multiply
    309,875.64x = 464,736.93 × 85,225.20
  4. Step 4: Simplify right side
    309,875.64x = 39,607,297,806.64
  5. Step 5: Solve for x
    x = 39,607,297,806.64/309,875.64
  6. Step 6: Final answer
    x = 127,816.75

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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.