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Finding the Fourth Proportional to 305,725.83, 458,617.91 and 118,751.91

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Solution

The fourth proportional to 305,725.83, 458,617.91 and 118,751.91 is: 178,139.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,725.83 : 458,617.91 = 118,751.91 : x
  2. Step 2: Convert to fraction form
    305,725.83/458,617.91 = 118,751.91/x
  3. Step 3: Cross multiply
    305,725.83x = 458,617.91 × 118,751.91
  4. Step 4: Simplify right side
    305,725.83x = 54,461,752,178.95
  5. Step 5: Solve for x
    x = 54,461,752,178.95/305,725.83
  6. Step 6: Final answer
    x = 178,139.19

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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.