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Finding the Fourth Proportional to 605,159.64, 907,744.32 and 205,891.20

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Solution

The fourth proportional to 605,159.64, 907,744.32 and 205,891.20 is: 308,838.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,159.64 : 907,744.32 = 205,891.20 : x
  2. Step 2: Convert to fraction form
    605,159.64/907,744.32 = 205,891.20/x
  3. Step 3: Cross multiply
    605,159.64x = 907,744.32 × 205,891.20
  4. Step 4: Simplify right side
    605,159.64x = 186,896,567,337.98
  5. Step 5: Solve for x
    x = 186,896,567,337.98/605,159.64
  6. Step 6: Final answer
    x = 308,838.45

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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.