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Finding the Fourth Proportional to 553,352.32, 830,287.68 and 272,716.48

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Solution

The fourth proportional to 553,352.32, 830,287.68 and 272,716.48 is: 409,202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,352.32 : 830,287.68 = 272,716.48 : x
  2. Step 2: Convert to fraction form
    553,352.32/830,287.68 = 272,716.48/x
  3. Step 3: Cross multiply
    553,352.32x = 830,287.68 × 272,716.48
  4. Step 4: Simplify right side
    553,352.32x = 226,433,133,476.97
  5. Step 5: Solve for x
    x = 226,433,133,476.97/553,352.32
  6. Step 6: Final answer
    x = 409,202.47

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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.