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Finding the Fourth Proportional to 309,289.64, 463,992.78 and 98,871.08

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Solution

The fourth proportional to 309,289.64, 463,992.78 and 98,871.08 is: 148,325.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,289.64 : 463,992.78 = 98,871.08 : x
  2. Step 2: Convert to fraction form
    309,289.64/463,992.78 = 98,871.08/x
  3. Step 3: Cross multiply
    309,289.64x = 463,992.78 × 98,871.08
  4. Step 4: Simplify right side
    309,289.64x = 45,875,467,270.80
  5. Step 5: Solve for x
    x = 45,875,467,270.80/309,289.64
  6. Step 6: Final answer
    x = 148,325.26

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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.