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Finding the Fourth Proportional to 490,001.60, 735,002.40 and 174,814.40

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Solution

The fourth proportional to 490,001.60, 735,002.40 and 174,814.40 is: 262,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,001.60 : 735,002.40 = 174,814.40 : x
  2. Step 2: Convert to fraction form
    490,001.60/735,002.40 = 174,814.40/x
  3. Step 3: Cross multiply
    490,001.60x = 735,002.40 × 174,814.40
  4. Step 4: Simplify right side
    490,001.60x = 128,489,003,554.56
  5. Step 5: Solve for x
    x = 128,489,003,554.56/490,001.60
  6. Step 6: Final answer
    x = 262,221.60

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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.