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Finding the Fourth Proportional to 855,616, 1,284,685.52 and 477,275.84

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Solution

The fourth proportional to 855,616, 1,284,685.52 and 477,275.84 is: 716,617.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,616 : 1,284,685.52 = 477,275.84 : x
  2. Step 2: Convert to fraction form
    855,616/1,284,685.52 = 477,275.84/x
  3. Step 3: Cross multiply
    855,616x = 1,284,685.52 × 477,275.84
  4. Step 4: Simplify right side
    855,616x = 613,149,360,693.84
  5. Step 5: Solve for x
    x = 613,149,360,693.84/855,616
  6. Step 6: Final answer
    x = 716,617.46

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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.