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Finding the Fourth Proportional to 434,447.36, 651,761.76 and 134,920.16

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Solution

The fourth proportional to 434,447.36, 651,761.76 and 134,920.16 is: 202,408.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,447.36 : 651,761.76 = 134,920.16 : x
  2. Step 2: Convert to fraction form
    434,447.36/651,761.76 = 134,920.16/x
  3. Step 3: Cross multiply
    434,447.36x = 651,761.76 × 134,920.16
  4. Step 4: Simplify right side
    434,447.36x = 87,935,800,941.08
  5. Step 5: Solve for x
    x = 87,935,800,941.08/434,447.36
  6. Step 6: Final answer
    x = 202,408.41

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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.