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Finding the Fourth Proportional to 286,641.50, 429,971.96 and 76,279.64

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Solution

The fourth proportional to 286,641.50, 429,971.96 and 76,279.64 is: 114,422.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,641.50 : 429,971.96 = 76,279.64 : x
  2. Step 2: Convert to fraction form
    286,641.50/429,971.96 = 76,279.64/x
  3. Step 3: Cross multiply
    286,641.50x = 429,971.96 × 76,279.64
  4. Step 4: Simplify right side
    286,641.50x = 32,798,106,318.89
  5. Step 5: Solve for x
    x = 32,798,106,318.89/286,641.50
  6. Step 6: Final answer
    x = 114,422.04

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1.5x scale

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.