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Finding the Fourth Proportional to 268,999.60, 402,624.60 and 209,513.20

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Solution

The fourth proportional to 268,999.60, 402,624.60 and 209,513.20 is: 313,588.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,999.60 : 402,624.60 = 209,513.20 : x
  2. Step 2: Convert to fraction form
    268,999.60/402,624.60 = 209,513.20/x
  3. Step 3: Cross multiply
    268,999.60x = 402,624.60 × 209,513.20
  4. Step 4: Simplify right side
    268,999.60x = 84,355,168,344.72
  5. Step 5: Solve for x
    x = 84,355,168,344.72/268,999.60
  6. Step 6: Final answer
    x = 313,588.45

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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.