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Finding the Fourth Proportional to 519,243.40, 778,970.40 and 294,711.40

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Solution

The fourth proportional to 519,243.40, 778,970.40 and 294,711.40 is: 442,126.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,243.40 : 778,970.40 = 294,711.40 : x
  2. Step 2: Convert to fraction form
    519,243.40/778,970.40 = 294,711.40/x
  3. Step 3: Cross multiply
    519,243.40x = 778,970.40 × 294,711.40
  4. Step 4: Simplify right side
    519,243.40x = 229,571,457,142.56
  5. Step 5: Solve for x
    x = 229,571,457,142.56/519,243.40
  6. Step 6: Final answer
    x = 442,126.87

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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.