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Finding the Fourth Proportional to 382,492.67, 527,836.95 and 210,406.93

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Solution

The fourth proportional to 382,492.67, 527,836.95 and 210,406.93 is: 290,359.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,492.67 : 527,836.95 = 210,406.93 : x
  2. Step 2: Convert to fraction form
    382,492.67/527,836.95 = 210,406.93/x
  3. Step 3: Cross multiply
    382,492.67x = 527,836.95 × 210,406.93
  4. Step 4: Simplify right side
    382,492.67x = 111,060,552,190.06
  5. Step 5: Solve for x
    x = 111,060,552,190.06/382,492.67
  6. Step 6: Final answer
    x = 290,359.95

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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.