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Finding the Fourth Proportional to 286,715.52, 429,137.43 and 210,793.95

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Solution

The fourth proportional to 286,715.52, 429,137.43 and 210,793.95 is: 315,502.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,715.52 : 429,137.43 = 210,793.95 : x
  2. Step 2: Convert to fraction form
    286,715.52/429,137.43 = 210,793.95/x
  3. Step 3: Cross multiply
    286,715.52x = 429,137.43 × 210,793.95
  4. Step 4: Simplify right side
    286,715.52x = 90,459,573,962.55
  5. Step 5: Solve for x
    x = 90,459,573,962.55/286,715.52
  6. Step 6: Final answer
    x = 315,502.89

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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.