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Finding the Fourth Proportional to 509,037.71, 702,393.81 and 294,136.07

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Solution

The fourth proportional to 509,037.71, 702,393.81 and 294,136.07 is: 405,862.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,037.71 : 702,393.81 = 294,136.07 : x
  2. Step 2: Convert to fraction form
    509,037.71/702,393.81 = 294,136.07/x
  3. Step 3: Cross multiply
    509,037.71x = 702,393.81 × 294,136.07
  4. Step 4: Simplify right side
    509,037.71x = 206,599,354,865.73
  5. Step 5: Solve for x
    x = 206,599,354,865.73/509,037.71
  6. Step 6: Final answer
    x = 405,862.57

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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.