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Finding the Fourth Proportional to 538,051.65, 742,544.84 and 296,334.15

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Solution

The fourth proportional to 538,051.65, 742,544.84 and 296,334.15 is: 408,959.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,051.65 : 742,544.84 = 296,334.15 : x
  2. Step 2: Convert to fraction form
    538,051.65/742,544.84 = 296,334.15/x
  3. Step 3: Cross multiply
    538,051.65x = 742,544.84 × 296,334.15
  4. Step 4: Simplify right side
    538,051.65x = 220,041,393,998.29
  5. Step 5: Solve for x
    x = 220,041,393,998.29/538,051.65
  6. Step 6: Final answer
    x = 408,959.61

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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.