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Finding the Fourth Proportional to 493,804.19, 681,199.39 and 312,210.29

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Solution

The fourth proportional to 493,804.19, 681,199.39 and 312,210.29 is: 430,691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,804.19 : 681,199.39 = 312,210.29 : x
  2. Step 2: Convert to fraction form
    493,804.19/681,199.39 = 312,210.29/x
  3. Step 3: Cross multiply
    493,804.19x = 681,199.39 × 312,210.29
  4. Step 4: Simplify right side
    493,804.19x = 212,677,459,099.72
  5. Step 5: Solve for x
    x = 212,677,459,099.72/493,804.19
  6. Step 6: Final answer
    x = 430,691.89

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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.