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Finding the Fourth Proportional to 509,356.57, 702,931.04 and 305,440.69

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Solution

The fourth proportional to 509,356.57, 702,931.04 and 305,440.69 is: 421,519.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,356.57 : 702,931.04 = 305,440.69 : x
  2. Step 2: Convert to fraction form
    509,356.57/702,931.04 = 305,440.69/x
  3. Step 3: Cross multiply
    509,356.57x = 702,931.04 × 305,440.69
  4. Step 4: Simplify right side
    509,356.57x = 214,703,741,880.02
  5. Step 5: Solve for x
    x = 214,703,741,880.02/509,356.57
  6. Step 6: Final answer
    x = 421,519.53

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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.