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Finding the Fourth Proportional to 564,186.80, 845,740.80 and 209,105.60

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Solution

The fourth proportional to 564,186.80, 845,740.80 and 209,105.60 is: 313,458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,186.80 : 845,740.80 = 209,105.60 : x
  2. Step 2: Convert to fraction form
    564,186.80/845,740.80 = 209,105.60/x
  3. Step 3: Cross multiply
    564,186.80x = 845,740.80 × 209,105.60
  4. Step 4: Simplify right side
    564,186.80x = 176,849,137,428.48
  5. Step 5: Solve for x
    x = 176,849,137,428.48/564,186.80
  6. Step 6: Final answer
    x = 313,458.48

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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.