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Finding the Fourth Proportional to 647,684.12, 971,511.60 and 292,602.80

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Solution

The fourth proportional to 647,684.12, 971,511.60 and 292,602.80 is: 438,897.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,684.12 : 971,511.60 = 292,602.80 : x
  2. Step 2: Convert to fraction form
    647,684.12/971,511.60 = 292,602.80/x
  3. Step 3: Cross multiply
    647,684.12x = 971,511.60 × 292,602.80
  4. Step 4: Simplify right side
    647,684.12x = 284,267,014,392.48
  5. Step 5: Solve for x
    x = 284,267,014,392.48/647,684.12
  6. Step 6: Final answer
    x = 438,897.61

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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.