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Finding the Fourth Proportional to 310,289.75, 465,425.35 and 85,663.89

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Solution

The fourth proportional to 310,289.75, 465,425.35 and 85,663.89 is: 128,493.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,289.75 : 465,425.35 = 85,663.89 : x
  2. Step 2: Convert to fraction form
    310,289.75/465,425.35 = 85,663.89/x
  3. Step 3: Cross multiply
    310,289.75x = 465,425.35 × 85,663.89
  4. Step 4: Simplify right side
    310,289.75x = 39,870,145,557.29
  5. Step 5: Solve for x
    x = 39,870,145,557.29/310,289.75
  6. Step 6: Final answer
    x = 128,493.28

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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.