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Finding the Fourth Proportional to 390,213.40, 538,563.02 and 226,920.50

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Solution

The fourth proportional to 390,213.40, 538,563.02 and 226,920.50 is: 313,190.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,213.40 : 538,563.02 = 226,920.50 : x
  2. Step 2: Convert to fraction form
    390,213.40/538,563.02 = 226,920.50/x
  3. Step 3: Cross multiply
    390,213.40x = 538,563.02 × 226,920.50
  4. Step 4: Simplify right side
    390,213.40x = 122,210,989,779.91
  5. Step 5: Solve for x
    x = 122,210,989,779.91/390,213.40
  6. Step 6: Final answer
    x = 313,190.14

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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.