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Finding the Fourth Proportional to 509,202.78, 703,172.52 and 328,337.88

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Solution

The fourth proportional to 509,202.78, 703,172.52 and 328,337.88 is: 453,411.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,202.78 : 703,172.52 = 328,337.88 : x
  2. Step 2: Convert to fraction form
    509,202.78/703,172.52 = 328,337.88/x
  3. Step 3: Cross multiply
    509,202.78x = 703,172.52 × 328,337.88
  4. Step 4: Simplify right side
    509,202.78x = 230,878,174,491.06
  5. Step 5: Solve for x
    x = 230,878,174,491.06/509,202.78
  6. Step 6: Final answer
    x = 453,411.06

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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.