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Finding the Fourth Proportional to 289,465.53, 434,227.74 and 99,901.23

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Solution

The fourth proportional to 289,465.53, 434,227.74 and 99,901.23 is: 149,862.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,465.53 : 434,227.74 = 99,901.23 : x
  2. Step 2: Convert to fraction form
    289,465.53/434,227.74 = 99,901.23/x
  3. Step 3: Cross multiply
    289,465.53x = 434,227.74 × 99,901.23
  4. Step 4: Simplify right side
    289,465.53x = 43,379,885,326.12
  5. Step 5: Solve for x
    x = 43,379,885,326.12/289,465.53
  6. Step 6: Final answer
    x = 149,862.01

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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.