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Finding the Fourth Proportional to 493,564.12, 740,239.22 and 288,261.55

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Solution

The fourth proportional to 493,564.12, 740,239.22 and 288,261.55 is: 432,329.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,564.12 : 740,239.22 = 288,261.55 : x
  2. Step 2: Convert to fraction form
    493,564.12/740,239.22 = 288,261.55/x
  3. Step 3: Cross multiply
    493,564.12x = 740,239.22 × 288,261.55
  4. Step 4: Simplify right side
    493,564.12x = 213,382,506,573.94
  5. Step 5: Solve for x
    x = 213,382,506,573.94/493,564.12
  6. Step 6: Final answer
    x = 432,329.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.