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Finding the Fourth Proportional to 430,967.84, 646,052.64 and 220,140.80

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Solution

The fourth proportional to 430,967.84, 646,052.64 and 220,140.80 is: 330,007.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,967.84 : 646,052.64 = 220,140.80 : x
  2. Step 2: Convert to fraction form
    430,967.84/646,052.64 = 220,140.80/x
  3. Step 3: Cross multiply
    430,967.84x = 646,052.64 × 220,140.80
  4. Step 4: Simplify right side
    430,967.84x = 142,222,545,011.71
  5. Step 5: Solve for x
    x = 142,222,545,011.71/430,967.84
  6. Step 6: Final answer
    x = 330,007.33

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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.