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Finding the Fourth Proportional to 312,934.16, 469,351.62 and 99,674.40

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Solution

The fourth proportional to 312,934.16, 469,351.62 and 99,674.40 is: 149,495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,934.16 : 469,351.62 = 99,674.40 : x
  2. Step 2: Convert to fraction form
    312,934.16/469,351.62 = 99,674.40/x
  3. Step 3: Cross multiply
    312,934.16x = 469,351.62 × 99,674.40
  4. Step 4: Simplify right side
    312,934.16x = 46,782,341,112.53
  5. Step 5: Solve for x
    x = 46,782,341,112.53/312,934.16
  6. Step 6: Final answer
    x = 149,495.80

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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.