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Finding the Fourth Proportional to 647,283.40, 971,253.05 and 431,289.77

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Solution

The fourth proportional to 647,283.40, 971,253.05 and 431,289.77 is: 647,153.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,283.40 : 971,253.05 = 431,289.77 : x
  2. Step 2: Convert to fraction form
    647,283.40/971,253.05 = 431,289.77/x
  3. Step 3: Cross multiply
    647,283.40x = 971,253.05 × 431,289.77
  4. Step 4: Simplify right side
    647,283.40x = 418,891,501,172.59
  5. Step 5: Solve for x
    x = 418,891,501,172.59/647,283.40
  6. Step 6: Final answer
    x = 647,153.16

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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.