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Finding the Fourth Proportional to 492,543.90, 738,857.78 and 155,494.40

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Solution

The fourth proportional to 492,543.90, 738,857.78 and 155,494.40 is: 233,254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,543.90 : 738,857.78 = 155,494.40 : x
  2. Step 2: Convert to fraction form
    492,543.90/738,857.78 = 155,494.40/x
  3. Step 3: Cross multiply
    492,543.90x = 738,857.78 × 155,494.40
  4. Step 4: Simplify right side
    492,543.90x = 114,888,247,186.43
  5. Step 5: Solve for x
    x = 114,888,247,186.43/492,543.90
  6. Step 6: Final answer
    x = 233,254.84

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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.