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Finding the Fourth Proportional to 460,913.04, 636,062.94 and 256,977

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Solution

The fourth proportional to 460,913.04, 636,062.94 and 256,977 is: 354,629.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,913.04 : 636,062.94 = 256,977 : x
  2. Step 2: Convert to fraction form
    460,913.04/636,062.94 = 256,977/x
  3. Step 3: Cross multiply
    460,913.04x = 636,062.94 × 256,977
  4. Step 4: Simplify right side
    460,913.04x = 163,453,546,132.38
  5. Step 5: Solve for x
    x = 163,453,546,132.38/460,913.04
  6. Step 6: Final answer
    x = 354,629.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.