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Finding the Fourth Proportional to 708,829.12, 978,207.80 and 386,556.80

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Solution

The fourth proportional to 708,829.12, 978,207.80 and 386,556.80 is: 533,461.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,829.12 : 978,207.80 = 386,556.80 : x
  2. Step 2: Convert to fraction form
    708,829.12/978,207.80 = 386,556.80/x
  3. Step 3: Cross multiply
    708,829.12x = 978,207.80 × 386,556.80
  4. Step 4: Simplify right side
    708,829.12x = 378,132,876,903.04
  5. Step 5: Solve for x
    x = 378,132,876,903.04/708,829.12
  6. Step 6: Final answer
    x = 533,461.26

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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.