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Finding the Fourth Proportional to 460,000.31, 690,111.63 and 144,457.20

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Solution

The fourth proportional to 460,000.31, 690,111.63 and 144,457.20 is: 216,720.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,000.31 : 690,111.63 = 144,457.20 : x
  2. Step 2: Convert to fraction form
    460,000.31/690,111.63 = 144,457.20/x
  3. Step 3: Cross multiply
    460,000.31x = 690,111.63 × 144,457.20
  4. Step 4: Simplify right side
    460,000.31x = 99,691,593,757.24
  5. Step 5: Solve for x
    x = 99,691,593,757.24/460,000.31
  6. Step 6: Final answer
    x = 216,720.71

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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.