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Finding the Fourth Proportional to 310,543, 428,874.63 and 213,997.89

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Solution

The fourth proportional to 310,543, 428,874.63 and 213,997.89 is: 295,541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,543 : 428,874.63 = 213,997.89 : x
  2. Step 2: Convert to fraction form
    310,543/428,874.63 = 213,997.89/x
  3. Step 3: Cross multiply
    310,543x = 428,874.63 × 213,997.89
  4. Step 4: Simplify right side
    310,543x = 91,778,265,894.53
  5. Step 5: Solve for x
    x = 91,778,265,894.53/310,543
  6. Step 6: Final answer
    x = 295,541.25

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1.5x scale

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.