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Finding the Fourth Proportional to 647,881.60, 971,530.80 and 292,712.80

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Solution

The fourth proportional to 647,881.60, 971,530.80 and 292,712.80 is: 438,937.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,881.60 : 971,530.80 = 292,712.80 : x
  2. Step 2: Convert to fraction form
    647,881.60/971,530.80 = 292,712.80/x
  3. Step 3: Cross multiply
    647,881.60x = 971,530.80 × 292,712.80
  4. Step 4: Simplify right side
    647,881.60x = 284,379,500,754.24
  5. Step 5: Solve for x
    x = 284,379,500,754.24/647,881.60
  6. Step 6: Final answer
    x = 438,937.46

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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.