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Finding the Fourth Proportional to 460,497, 690,784.38 and 128,073

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Solution

The fourth proportional to 460,497, 690,784.38 and 128,073 is: 192,120.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,497 : 690,784.38 = 128,073 : x
  2. Step 2: Convert to fraction form
    460,497/690,784.38 = 128,073/x
  3. Step 3: Cross multiply
    460,497x = 690,784.38 × 128,073
  4. Step 4: Simplify right side
    460,497x = 88,470,827,899.74
  5. Step 5: Solve for x
    x = 88,470,827,899.74/460,497
  6. Step 6: Final answer
    x = 192,120.31

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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.