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Finding the Fourth Proportional to 302,617.80, 453,969.90 and 102,947.40

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Solution

The fourth proportional to 302,617.80, 453,969.90 and 102,947.40 is: 154,435.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,617.80 : 453,969.90 = 102,947.40 : x
  2. Step 2: Convert to fraction form
    302,617.80/453,969.90 = 102,947.40/x
  3. Step 3: Cross multiply
    302,617.80x = 453,969.90 × 102,947.40
  4. Step 4: Simplify right side
    302,617.80x = 46,735,020,883.26
  5. Step 5: Solve for x
    x = 46,735,020,883.26/302,617.80
  6. Step 6: Final answer
    x = 154,435.80

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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.