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Finding the Fourth Proportional to 403,005.20, 604,507.80 and 181,821.20

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Solution

The fourth proportional to 403,005.20, 604,507.80 and 181,821.20 is: 272,731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,005.20 : 604,507.80 = 181,821.20 : x
  2. Step 2: Convert to fraction form
    403,005.20/604,507.80 = 181,821.20/x
  3. Step 3: Cross multiply
    403,005.20x = 604,507.80 × 181,821.20
  4. Step 4: Simplify right side
    403,005.20x = 109,912,333,605.36
  5. Step 5: Solve for x
    x = 109,912,333,605.36/403,005.20
  6. Step 6: Final answer
    x = 272,731.80

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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.