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Finding the Fourth Proportional to 657,769.22, 986,688.65 and 208,525.13

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Solution

The fourth proportional to 657,769.22, 986,688.65 and 208,525.13 is: 312,798.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,769.22 : 986,688.65 = 208,525.13 : x
  2. Step 2: Convert to fraction form
    657,769.22/986,688.65 = 208,525.13/x
  3. Step 3: Cross multiply
    657,769.22x = 986,688.65 × 208,525.13
  4. Step 4: Simplify right side
    657,769.22x = 205,749,376,544.05
  5. Step 5: Solve for x
    x = 205,749,376,544.05/657,769.22
  6. Step 6: Final answer
    x = 312,798.73

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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.