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Finding the Fourth Proportional to 507,414.28, 700,254.78 and 281,059.76

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Solution

The fourth proportional to 507,414.28, 700,254.78 and 281,059.76 is: 387,875.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,414.28 : 700,254.78 = 281,059.76 : x
  2. Step 2: Convert to fraction form
    507,414.28/700,254.78 = 281,059.76/x
  3. Step 3: Cross multiply
    507,414.28x = 700,254.78 × 281,059.76
  4. Step 4: Simplify right side
    507,414.28x = 196,813,440,405.65
  5. Step 5: Solve for x
    x = 196,813,440,405.65/507,414.28
  6. Step 6: Final answer
    x = 387,875.25

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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.