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Finding the Fourth Proportional to 286,770.25, 429,219.71 and 210,848.66

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Solution

The fourth proportional to 286,770.25, 429,219.71 and 210,848.66 is: 315,585.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,770.25 : 429,219.71 = 210,848.66 : x
  2. Step 2: Convert to fraction form
    286,770.25/429,219.71 = 210,848.66/x
  3. Step 3: Cross multiply
    286,770.25x = 429,219.71 × 210,848.66
  4. Step 4: Simplify right side
    286,770.25x = 90,500,399,899.00
  5. Step 5: Solve for x
    x = 90,500,399,899.00/286,770.25
  6. Step 6: Final answer
    x = 315,585.04

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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.