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Finding the Fourth Proportional to 655,630, 983,614 and 356,033.68

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Solution

The fourth proportional to 655,630, 983,614 and 356,033.68 is: 534,142.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,630 : 983,614 = 356,033.68 : x
  2. Step 2: Convert to fraction form
    655,630/983,614 = 356,033.68/x
  3. Step 3: Cross multiply
    655,630x = 983,614 × 356,033.68
  4. Step 4: Simplify right side
    655,630x = 350,199,712,119.52
  5. Step 5: Solve for x
    x = 350,199,712,119.52/655,630
  6. Step 6: Final answer
    x = 534,142.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.