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Finding the Fourth Proportional to 499,883.09, 689,120.93 and 356,394.11

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Solution

The fourth proportional to 499,883.09, 689,120.93 and 356,394.11 is: 491,312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,883.09 : 689,120.93 = 356,394.11 : x
  2. Step 2: Convert to fraction form
    499,883.09/689,120.93 = 356,394.11/x
  3. Step 3: Cross multiply
    499,883.09x = 689,120.93 × 356,394.11
  4. Step 4: Simplify right side
    499,883.09x = 245,598,637,975.10
  5. Step 5: Solve for x
    x = 245,598,637,975.10/499,883.09
  6. Step 6: Final answer
    x = 491,312.16

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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.