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Finding the Fourth Proportional to 614,340.84, 921,445.76 and 214,989.24

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Solution

The fourth proportional to 614,340.84, 921,445.76 and 214,989.24 is: 322,460.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,340.84 : 921,445.76 = 214,989.24 : x
  2. Step 2: Convert to fraction form
    614,340.84/921,445.76 = 214,989.24/x
  3. Step 3: Cross multiply
    614,340.84x = 921,445.76 × 214,989.24
  4. Step 4: Simplify right side
    614,340.84x = 198,100,923,643.62
  5. Step 5: Solve for x
    x = 198,100,923,643.62/614,340.84
  6. Step 6: Final answer
    x = 322,460.94

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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.