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Finding the Fourth Proportional to 402,992.20, 604,488.30 and 181,808.20

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Solution

The fourth proportional to 402,992.20, 604,488.30 and 181,808.20 is: 272,712.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,992.20 : 604,488.30 = 181,808.20 : x
  2. Step 2: Convert to fraction form
    402,992.20/604,488.30 = 181,808.20/x
  3. Step 3: Cross multiply
    402,992.20x = 604,488.30 × 181,808.20
  4. Step 4: Simplify right side
    402,992.20x = 109,900,929,744.06
  5. Step 5: Solve for x
    x = 109,900,929,744.06/402,992.20
  6. Step 6: Final answer
    x = 272,712.30

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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.