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Finding the Fourth Proportional to 652,178.55, 978,334.93 and 225,713.63

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Solution

The fourth proportional to 652,178.55, 978,334.93 and 225,713.63 is: 338,593.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,178.55 : 978,334.93 = 225,713.63 : x
  2. Step 2: Convert to fraction form
    652,178.55/978,334.93 = 225,713.63/x
  3. Step 3: Cross multiply
    652,178.55x = 978,334.93 × 225,713.63
  4. Step 4: Simplify right side
    652,178.55x = 220,823,528,406.10
  5. Step 5: Solve for x
    x = 220,823,528,406.10/652,178.55
  6. Step 6: Final answer
    x = 338,593.67

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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.