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Finding the Fourth Proportional to 458,580.45, 688,015.97 and 357,724.29

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Solution

The fourth proportional to 458,580.45, 688,015.97 and 357,724.29 is: 536,699.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,580.45 : 688,015.97 = 357,724.29 : x
  2. Step 2: Convert to fraction form
    458,580.45/688,015.97 = 357,724.29/x
  3. Step 3: Cross multiply
    458,580.45x = 688,015.97 × 357,724.29
  4. Step 4: Simplify right side
    458,580.45x = 246,120,022,588.29
  5. Step 5: Solve for x
    x = 246,120,022,588.29/458,580.45
  6. Step 6: Final answer
    x = 536,699.77

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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.