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Finding the Fourth Proportional to 647,006.20, 971,384.10 and 410,810.20

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Solution

The fourth proportional to 647,006.20, 971,384.10 and 410,810.20 is: 616,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,006.20 : 971,384.10 = 410,810.20 : x
  2. Step 2: Convert to fraction form
    647,006.20/971,384.10 = 410,810.20/x
  3. Step 3: Cross multiply
    647,006.20x = 971,384.10 × 410,810.20
  4. Step 4: Simplify right side
    647,006.20x = 399,054,496,397.82
  5. Step 5: Solve for x
    x = 399,054,496,397.82/647,006.20
  6. Step 6: Final answer
    x = 616,770.75

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1.5x scale

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.