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Finding the Fourth Proportional to 492,765.80, 737,766.30 and 478,941.80

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Solution

The fourth proportional to 492,765.80, 737,766.30 and 478,941.80 is: 717,069.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,765.80 : 737,766.30 = 478,941.80 : x
  2. Step 2: Convert to fraction form
    492,765.80/737,766.30 = 478,941.80/x
  3. Step 3: Cross multiply
    492,765.80x = 737,766.30 × 478,941.80
  4. Step 4: Simplify right side
    492,765.80x = 353,347,119,701.34
  5. Step 5: Solve for x
    x = 353,347,119,701.34/492,765.80
  6. Step 6: Final answer
    x = 717,069.08

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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.