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Finding the Fourth Proportional to 538,274.88, 742,783.68 and 323,424

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Solution

The fourth proportional to 538,274.88, 742,783.68 and 323,424 is: 446,303.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,274.88 : 742,783.68 = 323,424 : x
  2. Step 2: Convert to fraction form
    538,274.88/742,783.68 = 323,424/x
  3. Step 3: Cross multiply
    538,274.88x = 742,783.68 × 323,424
  4. Step 4: Simplify right side
    538,274.88x = 240,234,068,920.32
  5. Step 5: Solve for x
    x = 240,234,068,920.32/538,274.88
  6. Step 6: Final answer
    x = 446,303.70

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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.