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Finding the Fourth Proportional to 624,921.30, 935,012.70 and 414,969.30

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Solution

The fourth proportional to 624,921.30, 935,012.70 and 414,969.30 is: 620,880.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,921.30 : 935,012.70 = 414,969.30 : x
  2. Step 2: Convert to fraction form
    624,921.30/935,012.70 = 414,969.30/x
  3. Step 3: Cross multiply
    624,921.30x = 935,012.70 × 414,969.30
  4. Step 4: Simplify right side
    624,921.30x = 388,001,565,610.11
  5. Step 5: Solve for x
    x = 388,001,565,610.11/624,921.30
  6. Step 6: Final answer
    x = 620,880.69

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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.