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Finding the Fourth Proportional to 566,361, 781,402.14 and 321,305.34

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Solution

The fourth proportional to 566,361, 781,402.14 and 321,305.34 is: 443,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,361 : 781,402.14 = 321,305.34 : x
  2. Step 2: Convert to fraction form
    566,361/781,402.14 = 321,305.34/x
  3. Step 3: Cross multiply
    566,361x = 781,402.14 × 321,305.34
  4. Step 4: Simplify right side
    566,361x = 251,068,680,269.43
  5. Step 5: Solve for x
    x = 251,068,680,269.43/566,361
  6. Step 6: Final answer
    x = 443,301.50

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1.5x scale

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.