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Finding the Fourth Proportional to 289,830.54, 399,890.48 and 167,292.93

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Solution

The fourth proportional to 289,830.54, 399,890.48 and 167,292.93 is: 230,820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,830.54 : 399,890.48 = 167,292.93 : x
  2. Step 2: Convert to fraction form
    289,830.54/399,890.48 = 167,292.93/x
  3. Step 3: Cross multiply
    289,830.54x = 399,890.48 × 167,292.93
  4. Step 4: Simplify right side
    289,830.54x = 66,898,849,241.84
  5. Step 5: Solve for x
    x = 66,898,849,241.84/289,830.54
  6. Step 6: Final answer
    x = 230,820.57

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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.