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Finding the Fourth Proportional to 460,085.32, 690,197.64 and 144,512.56

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Solution

The fourth proportional to 460,085.32, 690,197.64 and 144,512.56 is: 216,790.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,085.32 : 690,197.64 = 144,512.56 : x
  2. Step 2: Convert to fraction form
    460,085.32/690,197.64 = 144,512.56/x
  3. Step 3: Cross multiply
    460,085.32x = 690,197.64 × 144,512.56
  4. Step 4: Simplify right side
    460,085.32x = 99,742,227,862.36
  5. Step 5: Solve for x
    x = 99,742,227,862.36/460,085.32
  6. Step 6: Final answer
    x = 216,790.72

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1.5x scale

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.