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Finding the Fourth Proportional to 616,966.64, 851,457.38 and 345,059.84

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Solution

The fourth proportional to 616,966.64, 851,457.38 and 345,059.84 is: 476,206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,966.64 : 851,457.38 = 345,059.84 : x
  2. Step 2: Convert to fraction form
    616,966.64/851,457.38 = 345,059.84/x
  3. Step 3: Cross multiply
    616,966.64x = 851,457.38 × 345,059.84
  4. Step 4: Simplify right side
    616,966.64x = 293,803,747,309.62
  5. Step 5: Solve for x
    x = 293,803,747,309.62/616,966.64
  6. Step 6: Final answer
    x = 476,206.86

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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.