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Finding the Fourth Proportional to 460,457, 690,724.62 and 128,033

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Solution

The fourth proportional to 460,457, 690,724.62 and 128,033 is: 192,060.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,457 : 690,724.62 = 128,033 : x
  2. Step 2: Convert to fraction form
    460,457/690,724.62 = 128,033/x
  3. Step 3: Cross multiply
    460,457x = 690,724.62 × 128,033
  4. Step 4: Simplify right side
    460,457x = 88,435,545,272.46
  5. Step 5: Solve for x
    x = 88,435,545,272.46/460,457
  6. Step 6: Final answer
    x = 192,060.38

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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.