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Finding the Fourth Proportional to 358,971.90, 538,354.14 and 122,309.34

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Solution

The fourth proportional to 358,971.90, 538,354.14 and 122,309.34 is: 183,428.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,971.90 : 538,354.14 = 122,309.34 : x
  2. Step 2: Convert to fraction form
    358,971.90/538,354.14 = 122,309.34/x
  3. Step 3: Cross multiply
    358,971.90x = 538,354.14 × 122,309.34
  4. Step 4: Simplify right side
    358,971.90x = 65,845,739,549.67
  5. Step 5: Solve for x
    x = 65,845,739,549.67/358,971.90
  6. Step 6: Final answer
    x = 183,428.67

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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.