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Finding the Fourth Proportional to 309,841.44, 464,663.74 and 99,430.17

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Solution

The fourth proportional to 309,841.44, 464,663.74 and 99,430.17 is: 149,113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,841.44 : 464,663.74 = 99,430.17 : x
  2. Step 2: Convert to fraction form
    309,841.44/464,663.74 = 99,430.17/x
  3. Step 3: Cross multiply
    309,841.44x = 464,663.74 × 99,430.17
  4. Step 4: Simplify right side
    309,841.44x = 46,201,594,661.04
  5. Step 5: Solve for x
    x = 46,201,594,661.04/309,841.44
  6. Step 6: Final answer
    x = 149,113.67

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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.