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Finding the Fourth Proportional to 289,090.29, 433,632.95 and 225,963.46

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Solution

The fourth proportional to 289,090.29, 433,632.95 and 225,963.46 is: 338,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,090.29 : 433,632.95 = 225,963.46 : x
  2. Step 2: Convert to fraction form
    289,090.29/433,632.95 = 225,963.46/x
  3. Step 3: Cross multiply
    289,090.29x = 433,632.95 × 225,963.46
  4. Step 4: Simplify right side
    289,090.29x = 97,985,201,752.01
  5. Step 5: Solve for x
    x = 97,985,201,752.01/289,090.29
  6. Step 6: Final answer
    x = 338,943.25

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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.