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Finding the Fourth Proportional to 647,006.70, 971,384.85 and 410,810.70

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Solution

The fourth proportional to 647,006.70, 971,384.85 and 410,810.70 is: 616,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,006.70 : 971,384.85 = 410,810.70 : x
  2. Step 2: Convert to fraction form
    647,006.70/971,384.85 = 410,810.70/x
  3. Step 3: Cross multiply
    647,006.70x = 971,384.85 × 410,810.70
  4. Step 4: Simplify right side
    647,006.70x = 399,055,290,197.90
  5. Step 5: Solve for x
    x = 399,055,290,197.90/647,006.70
  6. Step 6: Final answer
    x = 616,771.50

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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.