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Finding the Fourth Proportional to 802,005.48, 1,203,009.84 and 328,605.84

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Solution

The fourth proportional to 802,005.48, 1,203,009.84 and 328,605.84 is: 492,909.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,005.48 : 1,203,009.84 = 328,605.84 : x
  2. Step 2: Convert to fraction form
    802,005.48/1,203,009.84 = 328,605.84/x
  3. Step 3: Cross multiply
    802,005.48x = 1,203,009.84 × 328,605.84
  4. Step 4: Simplify right side
    802,005.48x = 395,316,059,001.47
  5. Step 5: Solve for x
    x = 395,316,059,001.47/802,005.48
  6. Step 6: Final answer
    x = 492,909.42

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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.