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Finding the Fourth Proportional to 460,419.40, 690,704.70 and 144,800.20

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Solution

The fourth proportional to 460,419.40, 690,704.70 and 144,800.20 is: 217,224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,419.40 : 690,704.70 = 144,800.20 : x
  2. Step 2: Convert to fraction form
    460,419.40/690,704.70 = 144,800.20/x
  3. Step 3: Cross multiply
    460,419.40x = 690,704.70 × 144,800.20
  4. Step 4: Simplify right side
    460,419.40x = 100,014,178,700.94
  5. Step 5: Solve for x
    x = 100,014,178,700.94/460,419.40
  6. Step 6: Final answer
    x = 217,224.08

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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.