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Finding the Fourth Proportional to 460,474.16, 690,804.64 and 144,857.66

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Solution

The fourth proportional to 460,474.16, 690,804.64 and 144,857.66 is: 217,315.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,474.16 : 690,804.64 = 144,857.66 : x
  2. Step 2: Convert to fraction form
    460,474.16/690,804.64 = 144,857.66/x
  3. Step 3: Cross multiply
    460,474.16x = 690,804.64 × 144,857.66
  4. Step 4: Simplify right side
    460,474.16x = 100,068,343,667.54
  5. Step 5: Solve for x
    x = 100,068,343,667.54/460,474.16
  6. Step 6: Final answer
    x = 217,315.87

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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.