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Finding the Fourth Proportional to 509,817.75, 703,636.57 and 295,076.22

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Solution

The fourth proportional to 509,817.75, 703,636.57 and 295,076.22 is: 407,256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,817.75 : 703,636.57 = 295,076.22 : x
  2. Step 2: Convert to fraction form
    509,817.75/703,636.57 = 295,076.22/x
  3. Step 3: Cross multiply
    509,817.75x = 703,636.57 × 295,076.22
  4. Step 4: Simplify right side
    509,817.75x = 207,626,417,059.57
  5. Step 5: Solve for x
    x = 207,626,417,059.57/509,817.75
  6. Step 6: Final answer
    x = 407,256.16

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1.5x scale

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.