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Finding the Fourth Proportional to 305,999.70, 458,999.55 and 257,010.90

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Solution

The fourth proportional to 305,999.70, 458,999.55 and 257,010.90 is: 385,516.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,999.70 : 458,999.55 = 257,010.90 : x
  2. Step 2: Convert to fraction form
    305,999.70/458,999.55 = 257,010.90/x
  3. Step 3: Cross multiply
    305,999.70x = 458,999.55 × 257,010.90
  4. Step 4: Simplify right side
    305,999.70x = 117,967,887,445.10
  5. Step 5: Solve for x
    x = 117,967,887,445.10/305,999.70
  6. Step 6: Final answer
    x = 385,516.35

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1.5x scale

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.