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Finding the Fourth Proportional to 652,176.55, 978,331.93 and 225,711.63

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Solution

The fourth proportional to 652,176.55, 978,331.93 and 225,711.63 is: 338,590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,176.55 : 978,331.93 = 225,711.63 : x
  2. Step 2: Convert to fraction form
    652,176.55/978,331.93 = 225,711.63/x
  3. Step 3: Cross multiply
    652,176.55x = 978,331.93 × 225,711.63
  4. Step 4: Simplify right side
    652,176.55x = 220,820,894,601.35
  5. Step 5: Solve for x
    x = 220,820,894,601.35/652,176.55
  6. Step 6: Final answer
    x = 338,590.67

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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.