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Finding the Fourth Proportional to 434,516.16, 599,004 and 305,060.88

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Solution

The fourth proportional to 434,516.16, 599,004 and 305,060.88 is: 420,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,516.16 : 599,004 = 305,060.88 : x
  2. Step 2: Convert to fraction form
    434,516.16/599,004 = 305,060.88/x
  3. Step 3: Cross multiply
    434,516.16x = 599,004 × 305,060.88
  4. Step 4: Simplify right side
    434,516.16x = 182,732,687,363.52
  5. Step 5: Solve for x
    x = 182,732,687,363.52/434,516.16
  6. Step 6: Final answer
    x = 420,542.90

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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.