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Finding the Fourth Proportional to 610,574.40, 842,643 and 338,729.80

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Solution

The fourth proportional to 610,574.40, 842,643 and 338,729.80 is: 467,475.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,574.40 : 842,643 = 338,729.80 : x
  2. Step 2: Convert to fraction form
    610,574.40/842,643 = 338,729.80/x
  3. Step 3: Cross multiply
    610,574.40x = 842,643 × 338,729.80
  4. Step 4: Simplify right side
    610,574.40x = 285,428,294,861.40
  5. Step 5: Solve for x
    x = 285,428,294,861.40/610,574.40
  6. Step 6: Final answer
    x = 467,475.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.