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Finding the Fourth Proportional to 490,215.90, 735,345.45 and 276,980.70

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Solution

The fourth proportional to 490,215.90, 735,345.45 and 276,980.70 is: 415,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,215.90 : 735,345.45 = 276,980.70 : x
  2. Step 2: Convert to fraction form
    490,215.90/735,345.45 = 276,980.70/x
  3. Step 3: Cross multiply
    490,215.90x = 735,345.45 × 276,980.70
  4. Step 4: Simplify right side
    490,215.90x = 203,676,497,482.82
  5. Step 5: Solve for x
    x = 203,676,497,482.82/490,215.90
  6. Step 6: Final answer
    x = 415,483.25

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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.