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Finding the Fourth Proportional to 538,308.90, 742,859.41 and 293,303.87

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Solution

The fourth proportional to 538,308.90, 742,859.41 and 293,303.87 is: 404,755.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,308.90 : 742,859.41 = 293,303.87 : x
  2. Step 2: Convert to fraction form
    538,308.90/742,859.41 = 293,303.87/x
  3. Step 3: Cross multiply
    538,308.90x = 742,859.41 × 293,303.87
  4. Step 4: Simplify right side
    538,308.90x = 217,883,539,818.92
  5. Step 5: Solve for x
    x = 217,883,539,818.92/538,308.90
  6. Step 6: Final answer
    x = 404,755.60

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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.