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Finding the Fourth Proportional to 647,970.98, 971,168.47 and 458,485.94

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Solution

The fourth proportional to 647,970.98, 971,168.47 and 458,485.94 is: 687,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,970.98 : 971,168.47 = 458,485.94 : x
  2. Step 2: Convert to fraction form
    647,970.98/971,168.47 = 458,485.94/x
  3. Step 3: Cross multiply
    647,970.98x = 971,168.47 × 458,485.94
  4. Step 4: Simplify right side
    647,970.98x = 445,267,090,148.02
  5. Step 5: Solve for x
    x = 445,267,090,148.02/647,970.98
  6. Step 6: Final answer
    x = 687,171.35

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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.