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Finding the Fourth Proportional to 382,492.80, 527,837.15 and 210,407.06

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Solution

The fourth proportional to 382,492.80, 527,837.15 and 210,407.06 is: 290,360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,492.80 : 527,837.15 = 210,407.06 : x
  2. Step 2: Convert to fraction form
    382,492.80/527,837.15 = 210,407.06/x
  3. Step 3: Cross multiply
    382,492.80x = 527,837.15 × 210,407.06
  4. Step 4: Simplify right side
    382,492.80x = 111,060,664,735.89
  5. Step 5: Solve for x
    x = 111,060,664,735.89/382,492.80
  6. Step 6: Final answer
    x = 290,360.14

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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.