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Finding the Fourth Proportional to 312,622.49, 468,973.42 and 99,314.32

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Solution

The fourth proportional to 312,622.49, 468,973.42 and 99,314.32 is: 148,984.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,622.49 : 468,973.42 = 99,314.32 : x
  2. Step 2: Convert to fraction form
    312,622.49/468,973.42 = 99,314.32/x
  3. Step 3: Cross multiply
    312,622.49x = 468,973.42 × 99,314.32
  4. Step 4: Simplify right side
    312,622.49x = 46,575,774,884.66
  5. Step 5: Solve for x
    x = 46,575,774,884.66/312,622.49
  6. Step 6: Final answer
    x = 148,984.09

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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.