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Finding the Fourth Proportional to 525,853.92, 725,827.08 and 311,068.68

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Solution

The fourth proportional to 525,853.92, 725,827.08 and 311,068.68 is: 429,362.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,853.92 : 725,827.08 = 311,068.68 : x
  2. Step 2: Convert to fraction form
    525,853.92/725,827.08 = 311,068.68/x
  3. Step 3: Cross multiply
    525,853.92x = 725,827.08 × 311,068.68
  4. Step 4: Simplify right side
    525,853.92x = 225,782,071,683.85
  5. Step 5: Solve for x
    x = 225,782,071,683.85/525,853.92
  6. Step 6: Final answer
    x = 429,362.72

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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.