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Finding the Fourth Proportional to 490,267.77, 735,139.22 and 209,631.93

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Solution

The fourth proportional to 490,267.77, 735,139.22 and 209,631.93 is: 314,335.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,267.77 : 735,139.22 = 209,631.93 : x
  2. Step 2: Convert to fraction form
    490,267.77/735,139.22 = 209,631.93/x
  3. Step 3: Cross multiply
    490,267.77x = 735,139.22 × 209,631.93
  4. Step 4: Simplify right side
    490,267.77x = 154,108,652,459.14
  5. Step 5: Solve for x
    x = 154,108,652,459.14/490,267.77
  6. Step 6: Final answer
    x = 314,335.68

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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.