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Finding the Fourth Proportional to 878,967.12, 1,212,967.92 and 497,007.48

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Solution

The fourth proportional to 878,967.12, 1,212,967.92 and 497,007.48 is: 685,866.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,967.12 : 1,212,967.92 = 497,007.48 : x
  2. Step 2: Convert to fraction form
    878,967.12/1,212,967.92 = 497,007.48/x
  3. Step 3: Cross multiply
    878,967.12x = 1,212,967.92 × 497,007.48
  4. Step 4: Simplify right side
    878,967.12x = 602,854,129,240.04
  5. Step 5: Solve for x
    x = 602,854,129,240.04/878,967.12
  6. Step 6: Final answer
    x = 685,866.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.