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Finding the Fourth Proportional to 509,381.92, 702,905.94 and 294,535.90

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Solution

The fourth proportional to 509,381.92, 702,905.94 and 294,535.90 is: 406,435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,381.92 : 702,905.94 = 294,535.90 : x
  2. Step 2: Convert to fraction form
    509,381.92/702,905.94 = 294,535.90/x
  3. Step 3: Cross multiply
    509,381.92x = 702,905.94 × 294,535.90
  4. Step 4: Simplify right side
    509,381.92x = 207,031,033,653.25
  5. Step 5: Solve for x
    x = 207,031,033,653.25/509,381.92
  6. Step 6: Final answer
    x = 406,435.77

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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.