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Finding the Fourth Proportional to 309,322.08, 463,884.30 and 98,910

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Solution

The fourth proportional to 309,322.08, 463,884.30 and 98,910 is: 148,333.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,322.08 : 463,884.30 = 98,910 : x
  2. Step 2: Convert to fraction form
    309,322.08/463,884.30 = 98,910/x
  3. Step 3: Cross multiply
    309,322.08x = 463,884.30 × 98,910
  4. Step 4: Simplify right side
    309,322.08x = 45,882,796,113
  5. Step 5: Solve for x
    x = 45,882,796,113/309,322.08
  6. Step 6: Final answer
    x = 148,333.40

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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.