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Finding the Fourth Proportional to 514,877.38, 772,285.29 and 305,845.54

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Solution

The fourth proportional to 514,877.38, 772,285.29 and 305,845.54 is: 458,750.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,877.38 : 772,285.29 = 305,845.54 : x
  2. Step 2: Convert to fraction form
    514,877.38/772,285.29 = 305,845.54/x
  3. Step 3: Cross multiply
    514,877.38x = 772,285.29 × 305,845.54
  4. Step 4: Simplify right side
    514,877.38x = 236,200,011,554.11
  5. Step 5: Solve for x
    x = 236,200,011,554.11/514,877.38
  6. Step 6: Final answer
    x = 458,750.03

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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.