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Finding the Fourth Proportional to 286,266.94, 429,400.42 and 108,731.96

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Solution

The fourth proportional to 286,266.94, 429,400.42 and 108,731.96 is: 163,097.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,266.94 : 429,400.42 = 108,731.96 : x
  2. Step 2: Convert to fraction form
    286,266.94/429,400.42 = 108,731.96/x
  3. Step 3: Cross multiply
    286,266.94x = 429,400.42 × 108,731.96
  4. Step 4: Simplify right side
    286,266.94x = 46,689,549,291.42
  5. Step 5: Solve for x
    x = 46,689,549,291.42/286,266.94
  6. Step 6: Final answer
    x = 163,097.94

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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.