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Finding the Fourth Proportional to 525,854.92, 725,828.46 and 311,069.68

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Solution

The fourth proportional to 525,854.92, 725,828.46 and 311,069.68 is: 429,364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,854.92 : 725,828.46 = 311,069.68 : x
  2. Step 2: Convert to fraction form
    525,854.92/725,828.46 = 311,069.68/x
  3. Step 3: Cross multiply
    525,854.92x = 725,828.46 × 311,069.68
  4. Step 4: Simplify right side
    525,854.92x = 225,783,226,787.09
  5. Step 5: Solve for x
    x = 225,783,226,787.09/525,854.92
  6. Step 6: Final answer
    x = 429,364.10

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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.