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Finding the Fourth Proportional to 612,584.92, 845,243.31 and 357,886.90

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Solution

The fourth proportional to 612,584.92, 845,243.31 and 357,886.90 is: 493,811.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,584.92 : 845,243.31 = 357,886.90 : x
  2. Step 2: Convert to fraction form
    612,584.92/845,243.31 = 357,886.90/x
  3. Step 3: Cross multiply
    612,584.92x = 845,243.31 × 357,886.90
  4. Step 4: Simplify right side
    612,584.92x = 302,501,507,961.64
  5. Step 5: Solve for x
    x = 302,501,507,961.64/612,584.92
  6. Step 6: Final answer
    x = 493,811.55

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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.