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Finding the Fourth Proportional to 309,698.21, 464,503.57 and 99,308.81

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Solution

The fourth proportional to 309,698.21, 464,503.57 and 99,308.81 is: 148,949.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,698.21 : 464,503.57 = 99,308.81 : x
  2. Step 2: Convert to fraction form
    309,698.21/464,503.57 = 99,308.81/x
  3. Step 3: Cross multiply
    309,698.21x = 464,503.57 × 99,308.81
  4. Step 4: Simplify right side
    309,698.21x = 46,129,296,777.45
  5. Step 5: Solve for x
    x = 46,129,296,777.45/309,698.21
  6. Step 6: Final answer
    x = 148,949.19

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1.5x scale

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.