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Finding the Fourth Proportional to 647,312.70, 971,406.45 and 363,002.70

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Solution

The fourth proportional to 647,312.70, 971,406.45 and 363,002.70 is: 544,749.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,312.70 : 971,406.45 = 363,002.70 : x
  2. Step 2: Convert to fraction form
    647,312.70/971,406.45 = 363,002.70/x
  3. Step 3: Cross multiply
    647,312.70x = 971,406.45 × 363,002.70
  4. Step 4: Simplify right side
    647,312.70x = 352,623,164,147.42
  5. Step 5: Solve for x
    x = 352,623,164,147.42/647,312.70
  6. Step 6: Final answer
    x = 544,749.34

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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.