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Finding the Fourth Proportional to 649,672.80, 973,853.10 and 294,941.40

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Solution

The fourth proportional to 649,672.80, 973,853.10 and 294,941.40 is: 442,114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,672.80 : 973,853.10 = 294,941.40 : x
  2. Step 2: Convert to fraction form
    649,672.80/973,853.10 = 294,941.40/x
  3. Step 3: Cross multiply
    649,672.80x = 973,853.10 × 294,941.40
  4. Step 4: Simplify right side
    649,672.80x = 287,229,596,708.34
  5. Step 5: Solve for x
    x = 287,229,596,708.34/649,672.80
  6. Step 6: Final answer
    x = 442,114.24

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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.