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Finding the Fourth Proportional to 490,645.17, 735,967.80 and 153,688.68

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Solution

The fourth proportional to 490,645.17, 735,967.80 and 153,688.68 is: 230,533.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,645.17 : 735,967.80 = 153,688.68 : x
  2. Step 2: Convert to fraction form
    490,645.17/735,967.80 = 153,688.68/x
  3. Step 3: Cross multiply
    490,645.17x = 735,967.80 × 153,688.68
  4. Step 4: Simplify right side
    490,645.17x = 113,109,919,704.50
  5. Step 5: Solve for x
    x = 113,109,919,704.50/490,645.17
  6. Step 6: Final answer
    x = 230,533.03

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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.