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Finding the Fourth Proportional to 851,562, 1,277,343 and 477,614.16

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Solution

The fourth proportional to 851,562, 1,277,343 and 477,614.16 is: 716,421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,562 : 1,277,343 = 477,614.16 : x
  2. Step 2: Convert to fraction form
    851,562/1,277,343 = 477,614.16/x
  3. Step 3: Cross multiply
    851,562x = 1,277,343 × 477,614.16
  4. Step 4: Simplify right side
    851,562x = 610,077,103,976.88
  5. Step 5: Solve for x
    x = 610,077,103,976.88/851,562
  6. Step 6: Final answer
    x = 716,421.24

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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.