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Finding the Fourth Proportional to 509,710.72, 702,364.08 and 394,288.48

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Solution

The fourth proportional to 509,710.72, 702,364.08 and 394,288.48 is: 543,316.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,710.72 : 702,364.08 = 394,288.48 : x
  2. Step 2: Convert to fraction form
    509,710.72/702,364.08 = 394,288.48/x
  3. Step 3: Cross multiply
    509,710.72x = 702,364.08 × 394,288.48
  4. Step 4: Simplify right side
    509,710.72x = 276,934,065,509.80
  5. Step 5: Solve for x
    x = 276,934,065,509.80/509,710.72
  6. Step 6: Final answer
    x = 543,316.15

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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.