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Finding the Fourth Proportional to 545,071.75, 817,662.06 and 208,395.59

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Solution

The fourth proportional to 545,071.75, 817,662.06 and 208,395.59 is: 312,614.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,071.75 : 817,662.06 = 208,395.59 : x
  2. Step 2: Convert to fraction form
    545,071.75/817,662.06 = 208,395.59/x
  3. Step 3: Cross multiply
    545,071.75x = 817,662.06 × 208,395.59
  4. Step 4: Simplify right side
    545,071.75x = 170,397,163,326.01
  5. Step 5: Solve for x
    x = 170,397,163,326.01/545,071.75
  6. Step 6: Final answer
    x = 312,614.19

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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.