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Finding the Fourth Proportional to 331,802.85, 457,868.21 and 188,543.01

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Solution

The fourth proportional to 331,802.85, 457,868.21 and 188,543.01 is: 260,178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,802.85 : 457,868.21 = 188,543.01 : x
  2. Step 2: Convert to fraction form
    331,802.85/457,868.21 = 188,543.01/x
  3. Step 3: Cross multiply
    331,802.85x = 457,868.21 × 188,543.01
  4. Step 4: Simplify right side
    331,802.85x = 86,327,849,554.00
  5. Step 5: Solve for x
    x = 86,327,849,554.00/331,802.85
  6. Step 6: Final answer
    x = 260,178.14

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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.