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Finding the Fourth Proportional to 647,354,369.70, 971,031,554.55 and 440,730,108.90

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Solution

The fourth proportional to 647,354,369.70, 971,031,554.55 and 440,730,108.90 is: 661,095,163.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,354,369.70 : 971,031,554.55 = 440,730,108.90 : x
  2. Step 2: Convert to fraction form
    647,354,369.70/971,031,554.55 = 440,730,108.90/x
  3. Step 3: Cross multiply
    647,354,369.70x = 971,031,554.55 × 440,730,108.90
  4. Step 4: Simplify right side
    647,354,369.70x = 427,962,842,782,157,760
  5. Step 5: Solve for x
    x = 427,962,842,782,157,760/647,354,369.70
  6. Step 6: Final answer
    x = 661,095,163.35

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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.