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Finding the Fourth Proportional to 289,456.14, 399,644.40 and 180,726.02

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Solution

The fourth proportional to 289,456.14, 399,644.40 and 180,726.02 is: 249,523.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,456.14 : 399,644.40 = 180,726.02 : x
  2. Step 2: Convert to fraction form
    289,456.14/399,644.40 = 180,726.02/x
  3. Step 3: Cross multiply
    289,456.14x = 399,644.40 × 180,726.02
  4. Step 4: Simplify right side
    289,456.14x = 72,226,139,829.07
  5. Step 5: Solve for x
    x = 72,226,139,829.07/289,456.14
  6. Step 6: Final answer
    x = 249,523.61

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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.