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Finding the Fourth Proportional to 659,764.14, 910,203.89 and 401,433.99

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Solution

The fourth proportional to 659,764.14, 910,203.89 and 401,433.99 is: 553,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,764.14 : 910,203.89 = 401,433.99 : x
  2. Step 2: Convert to fraction form
    659,764.14/910,203.89 = 401,433.99/x
  3. Step 3: Cross multiply
    659,764.14x = 910,203.89 × 401,433.99
  4. Step 4: Simplify right side
    659,764.14x = 365,386,775,135.76
  5. Step 5: Solve for x
    x = 365,386,775,135.76/659,764.14
  6. Step 6: Final answer
    x = 553,814.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.