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Finding the Fourth Proportional to 647,492.80, 970,364.40 and 433,652.80

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Solution

The fourth proportional to 647,492.80, 970,364.40 and 433,652.80 is: 649,893.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,492.80 : 970,364.40 = 433,652.80 : x
  2. Step 2: Convert to fraction form
    647,492.80/970,364.40 = 433,652.80/x
  3. Step 3: Cross multiply
    647,492.80x = 970,364.40 × 433,652.80
  4. Step 4: Simplify right side
    647,492.80x = 420,801,239,080.32
  5. Step 5: Solve for x
    x = 420,801,239,080.32/647,492.80
  6. Step 6: Final answer
    x = 649,893.31

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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.