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Finding the Fourth Proportional to 289,154.78, 398,985.96 and 181,648.67

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Solution

The fourth proportional to 289,154.78, 398,985.96 and 181,648.67 is: 250,645.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,154.78 : 398,985.96 = 181,648.67 : x
  2. Step 2: Convert to fraction form
    289,154.78/398,985.96 = 181,648.67/x
  3. Step 3: Cross multiply
    289,154.78x = 398,985.96 × 181,648.67
  4. Step 4: Simplify right side
    289,154.78x = 72,475,266,987.74
  5. Step 5: Solve for x
    x = 72,475,266,987.74/289,154.78
  6. Step 6: Final answer
    x = 250,645.24

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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.