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Finding the Fourth Proportional to 451,430, 676,948.12 and 170,750.40

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Solution

The fourth proportional to 451,430, 676,948.12 and 170,750.40 is: 256,051.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,430 : 676,948.12 = 170,750.40 : x
  2. Step 2: Convert to fraction form
    451,430/676,948.12 = 170,750.40/x
  3. Step 3: Cross multiply
    451,430x = 676,948.12 × 170,750.40
  4. Step 4: Simplify right side
    451,430x = 115,589,162,269.25
  5. Step 5: Solve for x
    x = 115,589,162,269.25/451,430
  6. Step 6: Final answer
    x = 256,051.13

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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.