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Finding the Fourth Proportional to 790,216, 1,090,498 and 427,639.84

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Solution

The fourth proportional to 790,216, 1,090,498 and 427,639.84 is: 590,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,216 : 1,090,498 = 427,639.84 : x
  2. Step 2: Convert to fraction form
    790,216/1,090,498 = 427,639.84/x
  3. Step 3: Cross multiply
    790,216x = 1,090,498 × 427,639.84
  4. Step 4: Simplify right side
    790,216x = 466,340,390,240.32
  5. Step 5: Solve for x
    x = 466,340,390,240.32/790,216
  6. Step 6: Final answer
    x = 590,142.94

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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.