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Finding the Fourth Proportional to 445,816.80, 668,822.40 and 146,246.40

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Solution

The fourth proportional to 445,816.80, 668,822.40 and 146,246.40 is: 219,401.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,816.80 : 668,822.40 = 146,246.40 : x
  2. Step 2: Convert to fraction form
    445,816.80/668,822.40 = 146,246.40/x
  3. Step 3: Cross multiply
    445,816.80x = 668,822.40 × 146,246.40
  4. Step 4: Simplify right side
    445,816.80x = 97,812,868,239.36
  5. Step 5: Solve for x
    x = 97,812,868,239.36/445,816.80
  6. Step 6: Final answer
    x = 219,401.49

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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.