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Finding the Fourth Proportional to 430,941.80, 646,412.70 and 281,642.60

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Solution

The fourth proportional to 430,941.80, 646,412.70 and 281,642.60 is: 422,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,941.80 : 646,412.70 = 281,642.60 : x
  2. Step 2: Convert to fraction form
    430,941.80/646,412.70 = 281,642.60/x
  3. Step 3: Cross multiply
    430,941.80x = 646,412.70 × 281,642.60
  4. Step 4: Simplify right side
    430,941.80x = 182,057,353,501.02
  5. Step 5: Solve for x
    x = 182,057,353,501.02/430,941.80
  6. Step 6: Final answer
    x = 422,463.90

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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.