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Finding the Fourth Proportional to 401,320.86, 601,501.52 and 305,809.11

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Solution

The fourth proportional to 401,320.86, 601,501.52 and 305,809.11 is: 458,348.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,320.86 : 601,501.52 = 305,809.11 : x
  2. Step 2: Convert to fraction form
    401,320.86/601,501.52 = 305,809.11/x
  3. Step 3: Cross multiply
    401,320.86x = 601,501.52 × 305,809.11
  4. Step 4: Simplify right side
    401,320.86x = 183,944,642,965.80
  5. Step 5: Solve for x
    x = 183,944,642,965.80/401,320.86
  6. Step 6: Final answer
    x = 458,348.07

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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.