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Finding the Fourth Proportional to 419,371.94, 578,712.71 and 238,059.63

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Solution

The fourth proportional to 419,371.94, 578,712.71 and 238,059.63 is: 328,510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,371.94 : 578,712.71 = 238,059.63 : x
  2. Step 2: Convert to fraction form
    419,371.94/578,712.71 = 238,059.63/x
  3. Step 3: Cross multiply
    419,371.94x = 578,712.71 × 238,059.63
  4. Step 4: Simplify right side
    419,371.94x = 137,768,132,428.60
  5. Step 5: Solve for x
    x = 137,768,132,428.60/419,371.94
  6. Step 6: Final answer
    x = 328,510.62

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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.