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Finding the Fourth Proportional to 458,168.04, 632,303.46 and 256,977

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Solution

The fourth proportional to 458,168.04, 632,303.46 and 256,977 is: 354,645.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,168.04 : 632,303.46 = 256,977 : x
  2. Step 2: Convert to fraction form
    458,168.04/632,303.46 = 256,977/x
  3. Step 3: Cross multiply
    458,168.04x = 632,303.46 × 256,977
  4. Step 4: Simplify right side
    458,168.04x = 162,487,446,240.42
  5. Step 5: Solve for x
    x = 162,487,446,240.42/458,168.04
  6. Step 6: Final answer
    x = 354,645.96

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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.