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Finding the Fourth Proportional to 406,978.92, 561,666.42 and 237,209.40

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Solution

The fourth proportional to 406,978.92, 561,666.42 and 237,209.40 is: 327,369.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,978.92 : 561,666.42 = 237,209.40 : x
  2. Step 2: Convert to fraction form
    406,978.92/561,666.42 = 237,209.40/x
  3. Step 3: Cross multiply
    406,978.92x = 561,666.42 × 237,209.40
  4. Step 4: Simplify right side
    406,978.92x = 133,232,554,488.35
  5. Step 5: Solve for x
    x = 133,232,554,488.35/406,978.92
  6. Step 6: Final answer
    x = 327,369.67

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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.