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Finding the Fourth Proportional to 509,504.16, 703,835.28 and 408,202.32

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Solution

The fourth proportional to 509,504.16, 703,835.28 and 408,202.32 is: 563,895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,504.16 : 703,835.28 = 408,202.32 : x
  2. Step 2: Convert to fraction form
    509,504.16/703,835.28 = 408,202.32/x
  3. Step 3: Cross multiply
    509,504.16x = 703,835.28 × 408,202.32
  4. Step 4: Simplify right side
    509,504.16x = 287,307,194,193.85
  5. Step 5: Solve for x
    x = 287,307,194,193.85/509,504.16
  6. Step 6: Final answer
    x = 563,895.68

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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.