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Finding the Fourth Proportional to 289,688.80, 434,014.80 and 245,106.40

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Solution

The fourth proportional to 289,688.80, 434,014.80 and 245,106.40 is: 367,220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,688.80 : 434,014.80 = 245,106.40 : x
  2. Step 2: Convert to fraction form
    289,688.80/434,014.80 = 245,106.40/x
  3. Step 3: Cross multiply
    289,688.80x = 434,014.80 × 245,106.40
  4. Step 4: Simplify right side
    289,688.80x = 106,379,805,174.72
  5. Step 5: Solve for x
    x = 106,379,805,174.72/289,688.80
  6. Step 6: Final answer
    x = 367,220.98

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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.