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Finding the Fourth Proportional to 605,133.16, 907,437.30 and 205,666.68

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Solution

The fourth proportional to 605,133.16, 907,437.30 and 205,666.68 is: 308,410.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,133.16 : 907,437.30 = 205,666.68 : x
  2. Step 2: Convert to fraction form
    605,133.16/907,437.30 = 205,666.68/x
  3. Step 3: Cross multiply
    605,133.16x = 907,437.30 × 205,666.68
  4. Step 4: Simplify right side
    605,133.16x = 186,629,616,799.16
  5. Step 5: Solve for x
    x = 186,629,616,799.16/605,133.16
  6. Step 6: Final answer
    x = 308,410.82

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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.