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Finding the Fourth Proportional to 851,566, 1,277,349 and 477,618.16

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Solution

The fourth proportional to 851,566, 1,277,349 and 477,618.16 is: 716,427.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,566 : 1,277,349 = 477,618.16 : x
  2. Step 2: Convert to fraction form
    851,566/1,277,349 = 477,618.16/x
  3. Step 3: Cross multiply
    851,566x = 1,277,349 × 477,618.16
  4. Step 4: Simplify right side
    851,566x = 610,085,079,057.84
  5. Step 5: Solve for x
    x = 610,085,079,057.84/851,566
  6. Step 6: Final answer
    x = 716,427.24

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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.