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Finding the Fourth Proportional to 535,910.64, 803,115.36 and 402,706

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Solution

The fourth proportional to 535,910.64, 803,115.36 and 402,706 is: 603,494.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,910.64 : 803,115.36 = 402,706 : x
  2. Step 2: Convert to fraction form
    535,910.64/803,115.36 = 402,706/x
  3. Step 3: Cross multiply
    535,910.64x = 803,115.36 × 402,706
  4. Step 4: Simplify right side
    535,910.64x = 323,419,374,164.16
  5. Step 5: Solve for x
    x = 323,419,374,164.16/535,910.64
  6. Step 6: Final answer
    x = 603,494.97

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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.