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Finding the Fourth Proportional to 490,841.64, 736,026.75 and 291,187.98

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Solution

The fourth proportional to 490,841.64, 736,026.75 and 291,187.98 is: 436,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,841.64 : 736,026.75 = 291,187.98 : x
  2. Step 2: Convert to fraction form
    490,841.64/736,026.75 = 291,187.98/x
  3. Step 3: Cross multiply
    490,841.64x = 736,026.75 × 291,187.98
  4. Step 4: Simplify right side
    490,841.64x = 214,322,142,558.47
  5. Step 5: Solve for x
    x = 214,322,142,558.47/490,841.64
  6. Step 6: Final answer
    x = 436,642.14

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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.