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Finding the Fourth Proportional to 379,654.08, 523,866.72 and 216,312

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Solution

The fourth proportional to 379,654.08, 523,866.72 and 216,312 is: 298,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,654.08 : 523,866.72 = 216,312 : x
  2. Step 2: Convert to fraction form
    379,654.08/523,866.72 = 216,312/x
  3. Step 3: Cross multiply
    379,654.08x = 523,866.72 × 216,312
  4. Step 4: Simplify right side
    379,654.08x = 113,318,657,936.64
  5. Step 5: Solve for x
    x = 113,318,657,936.64/379,654.08
  6. Step 6: Final answer
    x = 298,478.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.