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Finding the Fourth Proportional to 343,707.40, 516,022.80 and 201,698.20

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Solution

The fourth proportional to 343,707.40, 516,022.80 and 201,698.20 is: 302,818.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,707.40 : 516,022.80 = 201,698.20 : x
  2. Step 2: Convert to fraction form
    343,707.40/516,022.80 = 201,698.20/x
  3. Step 3: Cross multiply
    343,707.40x = 516,022.80 × 201,698.20
  4. Step 4: Simplify right side
    343,707.40x = 104,080,869,918.96
  5. Step 5: Solve for x
    x = 104,080,869,918.96/343,707.40
  6. Step 6: Final answer
    x = 302,818.24

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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.