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Finding the Fourth Proportional to 378,924.63, 523,003.68 and 249,886.28

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Solution

The fourth proportional to 378,924.63, 523,003.68 and 249,886.28 is: 344,900.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,924.63 : 523,003.68 = 249,886.28 : x
  2. Step 2: Convert to fraction form
    378,924.63/523,003.68 = 249,886.28/x
  3. Step 3: Cross multiply
    378,924.63x = 523,003.68 × 249,886.28
  4. Step 4: Simplify right side
    378,924.63x = 130,691,441,406.49
  5. Step 5: Solve for x
    x = 130,691,441,406.49/378,924.63
  6. Step 6: Final answer
    x = 344,900.89

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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.