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Finding the Fourth Proportional to 576,871.60, 794,958.12 and 415,421.60

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Solution

The fourth proportional to 576,871.60, 794,958.12 and 415,421.60 is: 572,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,871.60 : 794,958.12 = 415,421.60 : x
  2. Step 2: Convert to fraction form
    576,871.60/794,958.12 = 415,421.60/x
  3. Step 3: Cross multiply
    576,871.60x = 794,958.12 × 415,421.60
  4. Step 4: Simplify right side
    576,871.60x = 330,242,774,143.39
  5. Step 5: Solve for x
    x = 330,242,774,143.39/576,871.60
  6. Step 6: Final answer
    x = 572,471.89

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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.