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Finding the Fourth Proportional to 434,812.40, 652,218.60 and 154,293.20

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Solution

The fourth proportional to 434,812.40, 652,218.60 and 154,293.20 is: 231,439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,812.40 : 652,218.60 = 154,293.20 : x
  2. Step 2: Convert to fraction form
    434,812.40/652,218.60 = 154,293.20/x
  3. Step 3: Cross multiply
    434,812.40x = 652,218.60 × 154,293.20
  4. Step 4: Simplify right side
    434,812.40x = 100,632,894,893.52
  5. Step 5: Solve for x
    x = 100,632,894,893.52/434,812.40
  6. Step 6: Final answer
    x = 231,439.80

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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.