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Finding the Fourth Proportional to 440,041.64, 659,359.36 and 282,139.16

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Solution

The fourth proportional to 440,041.64, 659,359.36 and 282,139.16 is: 422,757.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,041.64 : 659,359.36 = 282,139.16 : x
  2. Step 2: Convert to fraction form
    440,041.64/659,359.36 = 282,139.16/x
  3. Step 3: Cross multiply
    440,041.64x = 659,359.36 × 282,139.16
  4. Step 4: Simplify right side
    440,041.64x = 186,031,095,968.54
  5. Step 5: Solve for x
    x = 186,031,095,968.54/440,041.64
  6. Step 6: Final answer
    x = 422,757.94

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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.