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Finding the Fourth Proportional to 458,167.04, 632,302.08 and 256,976

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Solution

The fourth proportional to 458,167.04, 632,302.08 and 256,976 is: 354,644.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,167.04 : 632,302.08 = 256,976 : x
  2. Step 2: Convert to fraction form
    458,167.04/632,302.08 = 256,976/x
  3. Step 3: Cross multiply
    458,167.04x = 632,302.08 × 256,976
  4. Step 4: Simplify right side
    458,167.04x = 162,486,459,310.08
  5. Step 5: Solve for x
    x = 162,486,459,310.08/458,167.04
  6. Step 6: Final answer
    x = 354,644.58

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1.5x scale

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.