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Finding the Fourth Proportional to 620,430.90, 929,662.20 and 409,822.80

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Solution

The fourth proportional to 620,430.90, 929,662.20 and 409,822.80 is: 614,084.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,430.90 : 929,662.20 = 409,822.80 : x
  2. Step 2: Convert to fraction form
    620,430.90/929,662.20 = 409,822.80/x
  3. Step 3: Cross multiply
    620,430.90x = 929,662.20 × 409,822.80
  4. Step 4: Simplify right side
    620,430.90x = 380,996,765,858.16
  5. Step 5: Solve for x
    x = 380,996,765,858.16/620,430.90
  6. Step 6: Final answer
    x = 614,084.12

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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.