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Finding the Fourth Proportional to 458,989.10, 688,246.02 and 206,051.82

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Solution

The fourth proportional to 458,989.10, 688,246.02 and 206,051.82 is: 308,971.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,989.10 : 688,246.02 = 206,051.82 : x
  2. Step 2: Convert to fraction form
    458,989.10/688,246.02 = 206,051.82/x
  3. Step 3: Cross multiply
    458,989.10x = 688,246.02 × 206,051.82
  4. Step 4: Simplify right side
    458,989.10x = 141,814,345,028.76
  5. Step 5: Solve for x
    x = 141,814,345,028.76/458,989.10
  6. Step 6: Final answer
    x = 308,971.05

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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.