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Finding the Fourth Proportional to 404,645.20, 607,048.80 and 120,335.20

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Solution

The fourth proportional to 404,645.20, 607,048.80 and 120,335.20 is: 180,526.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,645.20 : 607,048.80 = 120,335.20 : x
  2. Step 2: Convert to fraction form
    404,645.20/607,048.80 = 120,335.20/x
  3. Step 3: Cross multiply
    404,645.20x = 607,048.80 × 120,335.20
  4. Step 4: Simplify right side
    404,645.20x = 73,049,338,757.76
  5. Step 5: Solve for x
    x = 73,049,338,757.76/404,645.20
  6. Step 6: Final answer
    x = 180,526.89

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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.