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Finding the Fourth Proportional to 612,795.60, 918,415.80 and 542,811.60

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Solution

The fourth proportional to 612,795.60, 918,415.80 and 542,811.60 is: 813,528.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,795.60 : 918,415.80 = 542,811.60 : x
  2. Step 2: Convert to fraction form
    612,795.60/918,415.80 = 542,811.60/x
  3. Step 3: Cross multiply
    612,795.60x = 918,415.80 × 542,811.60
  4. Step 4: Simplify right side
    612,795.60x = 498,526,749,863.28
  5. Step 5: Solve for x
    x = 498,526,749,863.28/612,795.60
  6. Step 6: Final answer
    x = 813,528.61

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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.