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Finding the Fourth Proportional to 313,159.30, 469,508.91 and 99,804.45

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Solution

The fourth proportional to 313,159.30, 469,508.91 and 99,804.45 is: 149,633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,159.30 : 469,508.91 = 99,804.45 : x
  2. Step 2: Convert to fraction form
    313,159.30/469,508.91 = 99,804.45/x
  3. Step 3: Cross multiply
    313,159.30x = 469,508.91 × 99,804.45
  4. Step 4: Simplify right side
    313,159.30x = 46,859,079,919.04
  5. Step 5: Solve for x
    x = 46,859,079,919.04/313,159.30
  6. Step 6: Final answer
    x = 149,633.37

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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.