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Finding the Fourth Proportional to 310,829.87, 464,475.33 and 233,388

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Solution

The fourth proportional to 310,829.87, 464,475.33 and 233,388 is: 348,753.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,829.87 : 464,475.33 = 233,388 : x
  2. Step 2: Convert to fraction form
    310,829.87/464,475.33 = 233,388/x
  3. Step 3: Cross multiply
    310,829.87x = 464,475.33 × 233,388
  4. Step 4: Simplify right side
    310,829.87x = 108,402,968,318.04
  5. Step 5: Solve for x
    x = 108,402,968,318.04/310,829.87
  6. Step 6: Final answer
    x = 348,753.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.