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Finding the Fourth Proportional to 289,510.46, 399,428.72 and 174,745.50

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Solution

The fourth proportional to 289,510.46, 399,428.72 and 174,745.50 is: 241,091.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,510.46 : 399,428.72 = 174,745.50 : x
  2. Step 2: Convert to fraction form
    289,510.46/399,428.72 = 174,745.50/x
  3. Step 3: Cross multiply
    289,510.46x = 399,428.72 × 174,745.50
  4. Step 4: Simplify right side
    289,510.46x = 69,798,371,390.76
  5. Step 5: Solve for x
    x = 69,798,371,390.76/289,510.46
  6. Step 6: Final answer
    x = 241,091.02

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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.