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Finding the Fourth Proportional to 647,476.34, 971,303.13 and 220,897.60

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Solution

The fourth proportional to 647,476.34, 971,303.13 and 220,897.60 is: 331,376.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,476.34 : 971,303.13 = 220,897.60 : x
  2. Step 2: Convert to fraction form
    647,476.34/971,303.13 = 220,897.60/x
  3. Step 3: Cross multiply
    647,476.34x = 971,303.13 × 220,897.60
  4. Step 4: Simplify right side
    647,476.34x = 214,558,527,861.23
  5. Step 5: Solve for x
    x = 214,558,527,861.23/647,476.34
  6. Step 6: Final answer
    x = 331,376.63

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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.