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Finding the Fourth Proportional to 648,504, 971,957.28 and 460,497.60

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Solution

The fourth proportional to 648,504, 971,957.28 and 460,497.60 is: 690,179.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,504 : 971,957.28 = 460,497.60 : x
  2. Step 2: Convert to fraction form
    648,504/971,957.28 = 460,497.60/x
  3. Step 3: Cross multiply
    648,504x = 971,957.28 × 460,497.60
  4. Step 4: Simplify right side
    648,504x = 447,583,994,742.53
  5. Step 5: Solve for x
    x = 447,583,994,742.53/648,504
  6. Step 6: Final answer
    x = 690,179.24

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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.