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Finding the Fourth Proportional to 561,214.40, 841,904.64 and 206,200.76

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Solution

The fourth proportional to 561,214.40, 841,904.64 and 206,200.76 is: 309,331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,214.40 : 841,904.64 = 206,200.76 : x
  2. Step 2: Convert to fraction form
    561,214.40/841,904.64 = 206,200.76/x
  3. Step 3: Cross multiply
    561,214.40x = 841,904.64 × 206,200.76
  4. Step 4: Simplify right side
    561,214.40x = 173,601,372,406.00
  5. Step 5: Solve for x
    x = 173,601,372,406.00/561,214.40
  6. Step 6: Final answer
    x = 309,331.65

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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.