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Finding the Fourth Proportional to 509,589.16, 703,301.28 and 328,826.62

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Solution

The fourth proportional to 509,589.16, 703,301.28 and 328,826.62 is: 453,824.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,589.16 : 703,301.28 = 328,826.62 : x
  2. Step 2: Convert to fraction form
    509,589.16/703,301.28 = 328,826.62/x
  3. Step 3: Cross multiply
    509,589.16x = 703,301.28 × 328,826.62
  4. Step 4: Simplify right side
    509,589.16x = 231,264,182,744.07
  5. Step 5: Solve for x
    x = 231,264,182,744.07/509,589.16
  6. Step 6: Final answer
    x = 453,824.77

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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.