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Finding the Fourth Proportional to 268,420.92, 370,420.74 and 147,570

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Solution

The fourth proportional to 268,420.92, 370,420.74 and 147,570 is: 203,646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,420.92 : 370,420.74 = 147,570 : x
  2. Step 2: Convert to fraction form
    268,420.92/370,420.74 = 147,570/x
  3. Step 3: Cross multiply
    268,420.92x = 370,420.74 × 147,570
  4. Step 4: Simplify right side
    268,420.92x = 54,662,988,601.80
  5. Step 5: Solve for x
    x = 54,662,988,601.80/268,420.92
  6. Step 6: Final answer
    x = 203,646.53

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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.