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Finding the Fourth Proportional to 458,751.50, 688,352.78 and 206,210.41

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Solution

The fourth proportional to 458,751.50, 688,352.78 and 206,210.41 is: 309,416.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,751.50 : 688,352.78 = 206,210.41 : x
  2. Step 2: Convert to fraction form
    458,751.50/688,352.78 = 206,210.41/x
  3. Step 3: Cross multiply
    458,751.50x = 688,352.78 × 206,210.41
  4. Step 4: Simplify right side
    458,751.50x = 141,945,507,783.08
  5. Step 5: Solve for x
    x = 141,945,507,783.08/458,751.50
  6. Step 6: Final answer
    x = 309,416.99

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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.