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Finding the Fourth Proportional to 460,195.20, 690,316.20 and 144,655.20

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Solution

The fourth proportional to 460,195.20, 690,316.20 and 144,655.20 is: 216,990.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,195.20 : 690,316.20 = 144,655.20 : x
  2. Step 2: Convert to fraction form
    460,195.20/690,316.20 = 144,655.20/x
  3. Step 3: Cross multiply
    460,195.20x = 690,316.20 × 144,655.20
  4. Step 4: Simplify right side
    460,195.20x = 99,857,827,974.24
  5. Step 5: Solve for x
    x = 99,857,827,974.24/460,195.20
  6. Step 6: Final answer
    x = 216,990.16

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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.