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Finding the Fourth Proportional to 310,362.65, 465,534.72 and 85,736.55

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Solution

The fourth proportional to 310,362.65, 465,534.72 and 85,736.55 is: 128,602.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,362.65 : 465,534.72 = 85,736.55 : x
  2. Step 2: Convert to fraction form
    310,362.65/465,534.72 = 85,736.55/x
  3. Step 3: Cross multiply
    310,362.65x = 465,534.72 × 85,736.55
  4. Step 4: Simplify right side
    310,362.65x = 39,913,340,798.02
  5. Step 5: Solve for x
    x = 39,913,340,798.02/310,362.65
  6. Step 6: Final answer
    x = 128,602.27

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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.