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Finding the Fourth Proportional to 309,148, 463,586.96 and 109,402

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Solution

The fourth proportional to 309,148, 463,586.96 and 109,402 is: 164,055.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,148 : 463,586.96 = 109,402 : x
  2. Step 2: Convert to fraction form
    309,148/463,586.96 = 109,402/x
  3. Step 3: Cross multiply
    309,148x = 463,586.96 × 109,402
  4. Step 4: Simplify right side
    309,148x = 50,717,340,597.92
  5. Step 5: Solve for x
    x = 50,717,340,597.92/309,148
  6. Step 6: Final answer
    x = 164,055.21

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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.