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Finding the Fourth Proportional to 289,686.06, 399,759.93 and 160,623.90

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Solution

The fourth proportional to 289,686.06, 399,759.93 and 160,623.90 is: 221,657.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,686.06 : 399,759.93 = 160,623.90 : x
  2. Step 2: Convert to fraction form
    289,686.06/399,759.93 = 160,623.90/x
  3. Step 3: Cross multiply
    289,686.06x = 399,759.93 × 160,623.90
  4. Step 4: Simplify right side
    289,686.06x = 64,210,999,020.33
  5. Step 5: Solve for x
    x = 64,210,999,020.33/289,686.06
  6. Step 6: Final answer
    x = 221,657.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.