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Finding the Fourth Proportional to 605,424.90, 907,489.35 and 205,695.30

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Solution

The fourth proportional to 605,424.90, 907,489.35 and 205,695.30 is: 308,322.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,424.90 : 907,489.35 = 205,695.30 : x
  2. Step 2: Convert to fraction form
    605,424.90/907,489.35 = 205,695.30/x
  3. Step 3: Cross multiply
    605,424.90x = 907,489.35 × 205,695.30
  4. Step 4: Simplify right side
    605,424.90x = 186,666,294,095.06
  5. Step 5: Solve for x
    x = 186,666,294,095.06/605,424.90
  6. Step 6: Final answer
    x = 308,322.79

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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.