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Finding the Fourth Proportional to 545,090.76, 817,639.86 and 208,040.52

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Solution

The fourth proportional to 545,090.76, 817,639.86 and 208,040.52 is: 312,062.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,090.76 : 817,639.86 = 208,040.52 : x
  2. Step 2: Convert to fraction form
    545,090.76/817,639.86 = 208,040.52/x
  3. Step 3: Cross multiply
    545,090.76x = 817,639.86 × 208,040.52
  4. Step 4: Simplify right side
    545,090.76x = 170,102,221,647.13
  5. Step 5: Solve for x
    x = 170,102,221,647.13/545,090.76
  6. Step 6: Final answer
    x = 312,062.20

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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.