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Finding the Fourth Proportional to 260,077.67, 358,876.91 and 145,356.54

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Solution

The fourth proportional to 260,077.67, 358,876.91 and 145,356.54 is: 200,575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,077.67 : 358,876.91 = 145,356.54 : x
  2. Step 2: Convert to fraction form
    260,077.67/358,876.91 = 145,356.54/x
  3. Step 3: Cross multiply
    260,077.67x = 358,876.91 × 145,356.54
  4. Step 4: Simplify right side
    260,077.67x = 52,165,104,941.09
  5. Step 5: Solve for x
    x = 52,165,104,941.09/260,077.67
  6. Step 6: Final answer
    x = 200,575.10

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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.