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Finding the Fourth Proportional to 310,362.62, 465,534.72 and 85,736.57

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Solution

The fourth proportional to 310,362.62, 465,534.72 and 85,736.57 is: 128,602.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,362.62 : 465,534.72 = 85,736.57 : x
  2. Step 2: Convert to fraction form
    310,362.62/465,534.72 = 85,736.57/x
  3. Step 3: Cross multiply
    310,362.62x = 465,534.72 × 85,736.57
  4. Step 4: Simplify right side
    310,362.62x = 39,913,347,781.04
  5. Step 5: Solve for x
    x = 39,913,347,781.04/310,362.62
  6. Step 6: Final answer
    x = 128,602.31

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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.