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Finding the Fourth Proportional to 286,303.68, 429,287.76 and 191,641.68

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Solution

The fourth proportional to 286,303.68, 429,287.76 and 191,641.68 is: 287,350.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,303.68 : 429,287.76 = 191,641.68 : x
  2. Step 2: Convert to fraction form
    286,303.68/429,287.76 = 191,641.68/x
  3. Step 3: Cross multiply
    286,303.68x = 429,287.76 × 191,641.68
  4. Step 4: Simplify right side
    286,303.68x = 82,269,427,529.84
  5. Step 5: Solve for x
    x = 82,269,427,529.84/286,303.68
  6. Step 6: Final answer
    x = 287,350.23

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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.