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Finding the Fourth Proportional to 647,424,294.40, 971,136,441.60 and 572,597,401.60

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Solution

The fourth proportional to 647,424,294.40, 971,136,441.60 and 572,597,401.60 is: 858,896,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,424,294.40 : 971,136,441.60 = 572,597,401.60 : x
  2. Step 2: Convert to fraction form
    647,424,294.40/971,136,441.60 = 572,597,401.60/x
  3. Step 3: Cross multiply
    647,424,294.40x = 971,136,441.60 × 572,597,401.60
  4. Step 4: Simplify right side
    647,424,294.40x = 556,070,203,059,230,208
  5. Step 5: Solve for x
    x = 556,070,203,059,230,208/647,424,294.40
  6. Step 6: Final answer
    x = 858,896,102.40

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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.