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Finding the Fourth Proportional to 309,139.90, 463,624.20 and 109,433.98

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Solution

The fourth proportional to 309,139.90, 463,624.20 and 109,433.98 is: 164,120.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,139.90 : 463,624.20 = 109,433.98 : x
  2. Step 2: Convert to fraction form
    309,139.90/463,624.20 = 109,433.98/x
  3. Step 3: Cross multiply
    309,139.90x = 463,624.20 × 109,433.98
  4. Step 4: Simplify right side
    309,139.90x = 50,736,241,430.32
  5. Step 5: Solve for x
    x = 50,736,241,430.32/309,139.90
  6. Step 6: Final answer
    x = 164,120.65

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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.