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Finding the Fourth Proportional to 659,355.12, 988,978.01 and 210,057.84

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Solution

The fourth proportional to 659,355.12, 988,978.01 and 210,057.84 is: 315,069.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,355.12 : 988,978.01 = 210,057.84 : x
  2. Step 2: Convert to fraction form
    659,355.12/988,978.01 = 210,057.84/x
  3. Step 3: Cross multiply
    659,355.12x = 988,978.01 × 210,057.84
  4. Step 4: Simplify right side
    659,355.12x = 207,742,583,537.81
  5. Step 5: Solve for x
    x = 207,742,583,537.81/659,355.12
  6. Step 6: Final answer
    x = 315,069.34

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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.