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Finding the Fourth Proportional to 306,765.42, 423,332.88 and 170,796.42

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Solution

The fourth proportional to 306,765.42, 423,332.88 and 170,796.42 is: 235,697.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,765.42 : 423,332.88 = 170,796.42 : x
  2. Step 2: Convert to fraction form
    306,765.42/423,332.88 = 170,796.42/x
  3. Step 3: Cross multiply
    306,765.42x = 423,332.88 × 170,796.42
  4. Step 4: Simplify right side
    306,765.42x = 72,303,740,372.29
  5. Step 5: Solve for x
    x = 72,303,740,372.29/306,765.42
  6. Step 6: Final answer
    x = 235,697.17

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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.